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Finding the Fourth Proportional to 47,340.71, 70,939.22 and 34,801

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Solution

The fourth proportional to 47,340.71, 70,939.22 and 34,801 is: 52,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340.71 : 70,939.22 = 34,801 : x
  2. Step 2: Convert to fraction form
    47,340.71/70,939.22 = 34,801/x
  3. Step 3: Cross multiply
    47,340.71x = 70,939.22 × 34,801
  4. Step 4: Simplify right side
    47,340.71x = 2,468,755,795.22
  5. Step 5: Solve for x
    x = 2,468,755,795.22/47,340.71
  6. Step 6: Final answer
    x = 52,148.69

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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.