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Finding the Fourth Proportional to 47,123.84, 70,531.92 and 34,640.56

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Solution

The fourth proportional to 47,123.84, 70,531.92 and 34,640.56 is: 51,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,123.84 : 70,531.92 = 34,640.56 : x
  2. Step 2: Convert to fraction form
    47,123.84/70,531.92 = 34,640.56/x
  3. Step 3: Cross multiply
    47,123.84x = 70,531.92 × 34,640.56
  4. Step 4: Simplify right side
    47,123.84x = 2,443,265,206.68
  5. Step 5: Solve for x
    x = 2,443,265,206.68/47,123.84
  6. Step 6: Final answer
    x = 51,847.75

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Why These Related Problems?

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