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Finding the Fourth Proportional to 83,980.80, 115,889.13 and 52,149.02

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Solution

The fourth proportional to 83,980.80, 115,889.13 and 52,149.02 is: 71,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.80 : 115,889.13 = 52,149.02 : x
  2. Step 2: Convert to fraction form
    83,980.80/115,889.13 = 52,149.02/x
  3. Step 3: Cross multiply
    83,980.80x = 115,889.13 × 52,149.02
  4. Step 4: Simplify right side
    83,980.80x = 6,043,503,978.71
  5. Step 5: Solve for x
    x = 6,043,503,978.71/83,980.80
  6. Step 6: Final answer
    x = 71,962.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.