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Finding the Fourth Proportional to 59,870, 89,755.86 and 24,834.80

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Solution

The fourth proportional to 59,870, 89,755.86 and 24,834.80 is: 37,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,870 : 89,755.86 = 24,834.80 : x
  2. Step 2: Convert to fraction form
    59,870/89,755.86 = 24,834.80/x
  3. Step 3: Cross multiply
    59,870x = 89,755.86 × 24,834.80
  4. Step 4: Simplify right side
    59,870x = 2,229,068,831.93
  5. Step 5: Solve for x
    x = 2,229,068,831.93/59,870
  6. Step 6: Final answer
    x = 37,231.82

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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.