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Finding the Fourth Proportional to 57,666.18, 86,509.80 and 18,234.30

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Solution

The fourth proportional to 57,666.18, 86,509.80 and 18,234.30 is: 27,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666.18 : 86,509.80 = 18,234.30 : x
  2. Step 2: Convert to fraction form
    57,666.18/86,509.80 = 18,234.30/x
  3. Step 3: Cross multiply
    57,666.18x = 86,509.80 × 18,234.30
  4. Step 4: Simplify right side
    57,666.18x = 1,577,445,646.14
  5. Step 5: Solve for x
    x = 1,577,445,646.14/57,666.18
  6. Step 6: Final answer
    x = 27,354.78

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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.