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Finding the Fourth Proportional to 38,666.34, 53,385.26 and 29,697.82

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Solution

The fourth proportional to 38,666.34, 53,385.26 and 29,697.82 is: 41,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666.34 : 53,385.26 = 29,697.82 : x
  2. Step 2: Convert to fraction form
    38,666.34/53,385.26 = 29,697.82/x
  3. Step 3: Cross multiply
    38,666.34x = 53,385.26 × 29,697.82
  4. Step 4: Simplify right side
    38,666.34x = 1,585,425,842.13
  5. Step 5: Solve for x
    x = 1,585,425,842.13/38,666.34
  6. Step 6: Final answer
    x = 41,002.74

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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.