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Finding the Fourth Proportional to 41,704.62, 62,502.69 and 31,807.50

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Solution

The fourth proportional to 41,704.62, 62,502.69 and 31,807.50 is: 47,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704.62 : 62,502.69 = 31,807.50 : x
  2. Step 2: Convert to fraction form
    41,704.62/62,502.69 = 31,807.50/x
  3. Step 3: Cross multiply
    41,704.62x = 62,502.69 × 31,807.50
  4. Step 4: Simplify right side
    41,704.62x = 1,988,054,312.18
  5. Step 5: Solve for x
    x = 1,988,054,312.18/41,704.62
  6. Step 6: Final answer
    x = 47,669.88

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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.