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Finding the Fourth Proportional to 38,538.66, 57,807.17 and 17,762.16

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Solution

The fourth proportional to 38,538.66, 57,807.17 and 17,762.16 is: 26,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.66 : 57,807.17 = 17,762.16 : x
  2. Step 2: Convert to fraction form
    38,538.66/57,807.17 = 17,762.16/x
  3. Step 3: Cross multiply
    38,538.66x = 57,807.17 × 17,762.16
  4. Step 4: Simplify right side
    38,538.66x = 1,026,780,202.69
  5. Step 5: Solve for x
    x = 1,026,780,202.69/38,538.66
  6. Step 6: Final answer
    x = 26,642.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.