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Finding the Fourth Proportional to 91,615.64, 137,377.01 and 32,442.98

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Solution

The fourth proportional to 91,615.64, 137,377.01 and 32,442.98 is: 48,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,615.64 : 137,377.01 = 32,442.98 : x
  2. Step 2: Convert to fraction form
    91,615.64/137,377.01 = 32,442.98/x
  3. Step 3: Cross multiply
    91,615.64x = 137,377.01 × 32,442.98
  4. Step 4: Simplify right side
    91,615.64x = 4,456,918,982.11
  5. Step 5: Solve for x
    x = 4,456,918,982.11/91,615.64
  6. Step 6: Final answer
    x = 48,648.02

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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.