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Finding the Fourth Proportional to 37,029, 55,539.42 and 9,327

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Solution

The fourth proportional to 37,029, 55,539.42 and 9,327 is: 13,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029 : 55,539.42 = 9,327 : x
  2. Step 2: Convert to fraction form
    37,029/55,539.42 = 9,327/x
  3. Step 3: Cross multiply
    37,029x = 55,539.42 × 9,327
  4. Step 4: Simplify right side
    37,029x = 518,016,170.34
  5. Step 5: Solve for x
    x = 518,016,170.34/37,029
  6. Step 6: Final answer
    x = 13,989.47

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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.