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Finding the Fourth Proportional to 91,486.32, 137,201.46 and 32,308.12

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Solution

The fourth proportional to 91,486.32, 137,201.46 and 32,308.12 is: 48,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,486.32 : 137,201.46 = 32,308.12 : x
  2. Step 2: Convert to fraction form
    91,486.32/137,201.46 = 32,308.12/x
  3. Step 3: Cross multiply
    91,486.32x = 137,201.46 × 32,308.12
  4. Step 4: Simplify right side
    91,486.32x = 4,432,721,233.86
  5. Step 5: Solve for x
    x = 4,432,721,233.86/91,486.32
  6. Step 6: Final answer
    x = 48,452.28

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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.