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Finding the Fourth Proportional to 83,356.80, 125,051.40 and 24,194.40

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Solution

The fourth proportional to 83,356.80, 125,051.40 and 24,194.40 is: 36,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,356.80 : 125,051.40 = 24,194.40 : x
  2. Step 2: Convert to fraction form
    83,356.80/125,051.40 = 24,194.40/x
  3. Step 3: Cross multiply
    83,356.80x = 125,051.40 × 24,194.40
  4. Step 4: Simplify right side
    83,356.80x = 3,025,543,592.16
  5. Step 5: Solve for x
    x = 3,025,543,592.16/83,356.80
  6. Step 6: Final answer
    x = 36,296.30

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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.