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Finding the Fourth Proportional to 32,301.22, 48,442.98 and 20,437.15

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Solution

The fourth proportional to 32,301.22, 48,442.98 and 20,437.15 is: 30,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301.22 : 48,442.98 = 20,437.15 : x
  2. Step 2: Convert to fraction form
    32,301.22/48,442.98 = 20,437.15/x
  3. Step 3: Cross multiply
    32,301.22x = 48,442.98 × 20,437.15
  4. Step 4: Simplify right side
    32,301.22x = 990,036,448.71
  5. Step 5: Solve for x
    x = 990,036,448.71/32,301.22
  6. Step 6: Final answer
    x = 30,650.13

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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.