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Finding the Fourth Proportional to 83,237.54, 124,536.83 and 47,715.89

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Solution

The fourth proportional to 83,237.54, 124,536.83 and 47,715.89 is: 71,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.54 : 124,536.83 = 47,715.89 : x
  2. Step 2: Convert to fraction form
    83,237.54/124,536.83 = 47,715.89/x
  3. Step 3: Cross multiply
    83,237.54x = 124,536.83 × 47,715.89
  4. Step 4: Simplify right side
    83,237.54x = 5,942,384,819.97
  5. Step 5: Solve for x
    x = 5,942,384,819.97/83,237.54
  6. Step 6: Final answer
    x = 71,390.69

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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.