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Finding the Fourth Proportional to 83,506.59, 125,221.01 and 48,456.27

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Solution

The fourth proportional to 83,506.59, 125,221.01 and 48,456.27 is: 72,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.59 : 125,221.01 = 48,456.27 : x
  2. Step 2: Convert to fraction form
    83,506.59/125,221.01 = 48,456.27/x
  3. Step 3: Cross multiply
    83,506.59x = 125,221.01 × 48,456.27
  4. Step 4: Simplify right side
    83,506.59x = 6,067,742,827.95
  5. Step 5: Solve for x
    x = 6,067,742,827.95/83,506.59
  6. Step 6: Final answer
    x = 72,661.84

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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.