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Finding the Fourth Proportional to 48,270.80, 72,406.20 and 40,494.80

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Solution

The fourth proportional to 48,270.80, 72,406.20 and 40,494.80 is: 60,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270.80 : 72,406.20 = 40,494.80 : x
  2. Step 2: Convert to fraction form
    48,270.80/72,406.20 = 40,494.80/x
  3. Step 3: Cross multiply
    48,270.80x = 72,406.20 × 40,494.80
  4. Step 4: Simplify right side
    48,270.80x = 2,932,074,587.76
  5. Step 5: Solve for x
    x = 2,932,074,587.76/48,270.80
  6. Step 6: Final answer
    x = 60,742.20

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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.