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Finding the Fourth Proportional to 49,378.60, 73,897.80 and 29,671.30

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Solution

The fourth proportional to 49,378.60, 73,897.80 and 29,671.30 is: 44,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,378.60 : 73,897.80 = 29,671.30 : x
  2. Step 2: Convert to fraction form
    49,378.60/73,897.80 = 29,671.30/x
  3. Step 3: Cross multiply
    49,378.60x = 73,897.80 × 29,671.30
  4. Step 4: Simplify right side
    49,378.60x = 2,192,643,793.14
  5. Step 5: Solve for x
    x = 2,192,643,793.14/49,378.60
  6. Step 6: Final answer
    x = 44,404.74

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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.