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Finding the Fourth Proportional to 32,189,486.40, 48,158,258.40 and 20,852,078.40

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Solution

The fourth proportional to 32,189,486.40, 48,158,258.40 and 20,852,078.40 is: 31,196,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189,486.40 : 48,158,258.40 = 20,852,078.40 : x
  2. Step 2: Convert to fraction form
    32,189,486.40/48,158,258.40 = 20,852,078.40/x
  3. Step 3: Cross multiply
    32,189,486.40x = 48,158,258.40 × 20,852,078.40
  4. Step 4: Simplify right side
    32,189,486.40x = 1,004,199,779,764,258.50
  5. Step 5: Solve for x
    x = 1,004,199,779,764,258.50/32,189,486.40
  6. Step 6: Final answer
    x = 31,196,514.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.