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Finding the Fourth Proportional to 83,646.98, 125,393.46 and 36,232.28

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Solution

The fourth proportional to 83,646.98, 125,393.46 and 36,232.28 is: 54,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.98 : 125,393.46 = 36,232.28 : x
  2. Step 2: Convert to fraction form
    83,646.98/125,393.46 = 36,232.28/x
  3. Step 3: Cross multiply
    83,646.98x = 125,393.46 × 36,232.28
  4. Step 4: Simplify right side
    83,646.98x = 4,543,290,952.89
  5. Step 5: Solve for x
    x = 4,543,290,952.89/83,646.98
  6. Step 6: Final answer
    x = 54,315.06

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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.