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Finding the Fourth Proportional to 57,788.32, 86,678.16 and 20,852.32

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Solution

The fourth proportional to 57,788.32, 86,678.16 and 20,852.32 is: 31,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.32 : 86,678.16 = 20,852.32 : x
  2. Step 2: Convert to fraction form
    57,788.32/86,678.16 = 20,852.32/x
  3. Step 3: Cross multiply
    57,788.32x = 86,678.16 × 20,852.32
  4. Step 4: Simplify right side
    57,788.32x = 1,807,440,729.33
  5. Step 5: Solve for x
    x = 1,807,440,729.33/57,788.32
  6. Step 6: Final answer
    x = 31,276.92

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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.