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Finding the Fourth Proportional to 77,488.92, 116,222.40 and 24,891.60

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Solution

The fourth proportional to 77,488.92, 116,222.40 and 24,891.60 is: 37,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,488.92 : 116,222.40 = 24,891.60 : x
  2. Step 2: Convert to fraction form
    77,488.92/116,222.40 = 24,891.60/x
  3. Step 3: Cross multiply
    77,488.92x = 116,222.40 × 24,891.60
  4. Step 4: Simplify right side
    77,488.92x = 2,892,961,491.84
  5. Step 5: Solve for x
    x = 2,892,961,491.84/77,488.92
  6. Step 6: Final answer
    x = 37,333.87

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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.