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Finding the Fourth Proportional to 77,387.40, 116,081.10 and 24,834.60

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Solution

The fourth proportional to 77,387.40, 116,081.10 and 24,834.60 is: 37,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,387.40 : 116,081.10 = 24,834.60 : x
  2. Step 2: Convert to fraction form
    77,387.40/116,081.10 = 24,834.60/x
  3. Step 3: Cross multiply
    77,387.40x = 116,081.10 × 24,834.60
  4. Step 4: Simplify right side
    77,387.40x = 2,882,827,686.06
  5. Step 5: Solve for x
    x = 2,882,827,686.06/77,387.40
  6. Step 6: Final answer
    x = 37,251.90

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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.