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Finding the Fourth Proportional to 48,493.20, 72,642.60 and 32,746.80

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Solution

The fourth proportional to 48,493.20, 72,642.60 and 32,746.80 is: 49,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.20 : 72,642.60 = 32,746.80 : x
  2. Step 2: Convert to fraction form
    48,493.20/72,642.60 = 32,746.80/x
  3. Step 3: Cross multiply
    48,493.20x = 72,642.60 × 32,746.80
  4. Step 4: Simplify right side
    48,493.20x = 2,378,812,693.68
  5. Step 5: Solve for x
    x = 2,378,812,693.68/48,493.20
  6. Step 6: Final answer
    x = 49,054.56

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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.