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Finding the Fourth Proportional to 83,116.80, 124,538.40 and 47,995.20

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Solution

The fourth proportional to 83,116.80, 124,538.40 and 47,995.20 is: 71,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.80 : 124,538.40 = 47,995.20 : x
  2. Step 2: Convert to fraction form
    83,116.80/124,538.40 = 47,995.20/x
  3. Step 3: Cross multiply
    83,116.80x = 124,538.40 × 47,995.20
  4. Step 4: Simplify right side
    83,116.80x = 5,977,245,415.68
  5. Step 5: Solve for x
    x = 5,977,245,415.68/83,116.80
  6. Step 6: Final answer
    x = 71,913.81

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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.