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Finding the Fourth Proportional to 174,046.54, 261,070 and 47,687.86

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Solution

The fourth proportional to 174,046.54, 261,070 and 47,687.86 is: 71,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,046.54 : 261,070 = 47,687.86 : x
  2. Step 2: Convert to fraction form
    174,046.54/261,070 = 47,687.86/x
  3. Step 3: Cross multiply
    174,046.54x = 261,070 × 47,687.86
  4. Step 4: Simplify right side
    174,046.54x = 12,449,869,610.20
  5. Step 5: Solve for x
    x = 12,449,869,610.20/174,046.54
  6. Step 6: Final answer
    x = 71,531.84

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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.