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Finding the Fourth Proportional to 83,957.77, 125,834.59 and 39,532.51

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Solution

The fourth proportional to 83,957.77, 125,834.59 and 39,532.51 is: 59,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.77 : 125,834.59 = 39,532.51 : x
  2. Step 2: Convert to fraction form
    83,957.77/125,834.59 = 39,532.51/x
  3. Step 3: Cross multiply
    83,957.77x = 125,834.59 × 39,532.51
  4. Step 4: Simplify right side
    83,957.77x = 4,974,556,360.69
  5. Step 5: Solve for x
    x = 4,974,556,360.69/83,957.77
  6. Step 6: Final answer
    x = 59,250.70

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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.