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Finding the Fourth Proportional to 38,560.66, 53,165.21 and 29,497.06

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Solution

The fourth proportional to 38,560.66, 53,165.21 and 29,497.06 is: 40,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560.66 : 53,165.21 = 29,497.06 : x
  2. Step 2: Convert to fraction form
    38,560.66/53,165.21 = 29,497.06/x
  3. Step 3: Cross multiply
    38,560.66x = 53,165.21 × 29,497.06
  4. Step 4: Simplify right side
    38,560.66x = 1,568,217,474.17
  5. Step 5: Solve for x
    x = 1,568,217,474.17/38,560.66
  6. Step 6: Final answer
    x = 40,668.85

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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.