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Finding the Fourth Proportional to 91,876.80, 137,815.74 and 32,714.76

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Solution

The fourth proportional to 91,876.80, 137,815.74 and 32,714.76 is: 49,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,876.80 : 137,815.74 = 32,714.76 : x
  2. Step 2: Convert to fraction form
    91,876.80/137,815.74 = 32,714.76/x
  3. Step 3: Cross multiply
    91,876.80x = 137,815.74 × 32,714.76
  4. Step 4: Simplify right side
    91,876.80x = 4,508,608,858.32
  5. Step 5: Solve for x
    x = 4,508,608,858.32/91,876.80
  6. Step 6: Final answer
    x = 49,072.33

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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.