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Finding the Fourth Proportional to 83,152.80, 124,592.40 and 48,031.20

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Solution

The fourth proportional to 83,152.80, 124,592.40 and 48,031.20 is: 71,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.80 : 124,592.40 = 48,031.20 : x
  2. Step 2: Convert to fraction form
    83,152.80/124,592.40 = 48,031.20/x
  3. Step 3: Cross multiply
    83,152.80x = 124,592.40 × 48,031.20
  4. Step 4: Simplify right side
    83,152.80x = 5,984,322,482.88
  5. Step 5: Solve for x
    x = 5,984,322,482.88/83,152.80
  6. Step 6: Final answer
    x = 71,967.78

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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.