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Finding the Fourth Proportional to 48,465.20, 72,697.80 and 32,049.20

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Solution

The fourth proportional to 48,465.20, 72,697.80 and 32,049.20 is: 48,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,465.20 : 72,697.80 = 32,049.20 : x
  2. Step 2: Convert to fraction form
    48,465.20/72,697.80 = 32,049.20/x
  3. Step 3: Cross multiply
    48,465.20x = 72,697.80 × 32,049.20
  4. Step 4: Simplify right side
    48,465.20x = 2,329,906,331.76
  5. Step 5: Solve for x
    x = 2,329,906,331.76/48,465.20
  6. Step 6: Final answer
    x = 48,073.80

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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.