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Finding the Fourth Proportional to 57,438.16, 86,157 and 15,318.16

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Solution

The fourth proportional to 57,438.16, 86,157 and 15,318.16 is: 22,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438.16 : 86,157 = 15,318.16 : x
  2. Step 2: Convert to fraction form
    57,438.16/86,157 = 15,318.16/x
  3. Step 3: Cross multiply
    57,438.16x = 86,157 × 15,318.16
  4. Step 4: Simplify right side
    57,438.16x = 1,319,766,711.12
  5. Step 5: Solve for x
    x = 1,319,766,711.12/57,438.16
  6. Step 6: Final answer
    x = 22,977.18

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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.