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Finding the Fourth Proportional to 48,512.80, 72,769.20 and 25,184.80

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Solution

The fourth proportional to 48,512.80, 72,769.20 and 25,184.80 is: 37,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512.80 : 72,769.20 = 25,184.80 : x
  2. Step 2: Convert to fraction form
    48,512.80/72,769.20 = 25,184.80/x
  3. Step 3: Cross multiply
    48,512.80x = 72,769.20 × 25,184.80
  4. Step 4: Simplify right side
    48,512.80x = 1,832,677,748.16
  5. Step 5: Solve for x
    x = 1,832,677,748.16/48,512.80
  6. Step 6: Final answer
    x = 37,777.20

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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.