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Finding the Fourth Proportional to 38,066.65, 57,099.65 and 29,753.66

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Solution

The fourth proportional to 38,066.65, 57,099.65 and 29,753.66 is: 44,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066.65 : 57,099.65 = 29,753.66 : x
  2. Step 2: Convert to fraction form
    38,066.65/57,099.65 = 29,753.66/x
  3. Step 3: Cross multiply
    38,066.65x = 57,099.65 × 29,753.66
  4. Step 4: Simplify right side
    38,066.65x = 1,698,923,361.10
  5. Step 5: Solve for x
    x = 1,698,923,361.10/38,066.65
  6. Step 6: Final answer
    x = 44,630.23

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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.