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Finding the Fourth Proportional to 83,187.57, 124,767.68 and 29,868.51

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Solution

The fourth proportional to 83,187.57, 124,767.68 and 29,868.51 is: 44,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.57 : 124,767.68 = 29,868.51 : x
  2. Step 2: Convert to fraction form
    83,187.57/124,767.68 = 29,868.51/x
  3. Step 3: Cross multiply
    83,187.57x = 124,767.68 × 29,868.51
  4. Step 4: Simplify right side
    83,187.57x = 3,726,624,697.76
  5. Step 5: Solve for x
    x = 3,726,624,697.76/83,187.57
  6. Step 6: Final answer
    x = 44,797.85

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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.