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Finding the Fourth Proportional to 52,045.92, 78,046.98 and 37,917.90

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Solution

The fourth proportional to 52,045.92, 78,046.98 and 37,917.90 is: 56,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.92 : 78,046.98 = 37,917.90 : x
  2. Step 2: Convert to fraction form
    52,045.92/78,046.98 = 37,917.90/x
  3. Step 3: Cross multiply
    52,045.92x = 78,046.98 × 37,917.90
  4. Step 4: Simplify right side
    52,045.92x = 2,959,377,582.94
  5. Step 5: Solve for x
    x = 2,959,377,582.94/52,045.92
  6. Step 6: Final answer
    x = 56,860.89

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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.