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Finding the Fourth Proportional to 83,834.14, 125,771.19 and 24,671.74

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Solution

The fourth proportional to 83,834.14, 125,771.19 and 24,671.74 is: 37,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,834.14 : 125,771.19 = 24,671.74 : x
  2. Step 2: Convert to fraction form
    83,834.14/125,771.19 = 24,671.74/x
  3. Step 3: Cross multiply
    83,834.14x = 125,771.19 × 24,671.74
  4. Step 4: Simplify right side
    83,834.14x = 3,102,994,099.17
  5. Step 5: Solve for x
    x = 3,102,994,099.17/83,834.14
  6. Step 6: Final answer
    x = 37,013.49

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