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Finding the Fourth Proportional to 91,432.40, 137,148.60 and 32,267.60

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Solution

The fourth proportional to 91,432.40, 137,148.60 and 32,267.60 is: 48,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,432.40 : 137,148.60 = 32,267.60 : x
  2. Step 2: Convert to fraction form
    91,432.40/137,148.60 = 32,267.60/x
  3. Step 3: Cross multiply
    91,432.40x = 137,148.60 × 32,267.60
  4. Step 4: Simplify right side
    91,432.40x = 4,425,456,165.36
  5. Step 5: Solve for x
    x = 4,425,456,165.36/91,432.40
  6. Step 6: Final answer
    x = 48,401.40

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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.