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Finding the Fourth Proportional to 49,671.60, 74,410.20 and 29,891.40

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Solution

The fourth proportional to 49,671.60, 74,410.20 and 29,891.40 is: 44,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671.60 : 74,410.20 = 29,891.40 : x
  2. Step 2: Convert to fraction form
    49,671.60/74,410.20 = 29,891.40/x
  3. Step 3: Cross multiply
    49,671.60x = 74,410.20 × 29,891.40
  4. Step 4: Simplify right side
    49,671.60x = 2,224,225,052.28
  5. Step 5: Solve for x
    x = 2,224,225,052.28/49,671.60
  6. Step 6: Final answer
    x = 44,778.61

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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.