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Finding the Fourth Proportional to 49,854.78, 74,719.79 and 24,901.80

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Solution

The fourth proportional to 49,854.78, 74,719.79 and 24,901.80 is: 37,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,854.78 : 74,719.79 = 24,901.80 : x
  2. Step 2: Convert to fraction form
    49,854.78/74,719.79 = 24,901.80/x
  3. Step 3: Cross multiply
    49,854.78x = 74,719.79 × 24,901.80
  4. Step 4: Simplify right side
    49,854.78x = 1,860,656,893.02
  5. Step 5: Solve for x
    x = 1,860,656,893.02/49,854.78
  6. Step 6: Final answer
    x = 37,321.53

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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.