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Finding the Fourth Proportional to 38,666.27, 53,385.15 and 29,697.75

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Solution

The fourth proportional to 38,666.27, 53,385.15 and 29,697.75 is: 41,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666.27 : 53,385.15 = 29,697.75 : x
  2. Step 2: Convert to fraction form
    38,666.27/53,385.15 = 29,697.75/x
  3. Step 3: Cross multiply
    38,666.27x = 53,385.15 × 29,697.75
  4. Step 4: Simplify right side
    38,666.27x = 1,585,418,838.41
  5. Step 5: Solve for x
    x = 1,585,418,838.41/38,666.27
  6. Step 6: Final answer
    x = 41,002.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.