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Finding the Fourth Proportional to 83,243.60, 124,865.40 and 24,081.20

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Solution

The fourth proportional to 83,243.60, 124,865.40 and 24,081.20 is: 36,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243.60 : 124,865.40 = 24,081.20 : x
  2. Step 2: Convert to fraction form
    83,243.60/124,865.40 = 24,081.20/x
  3. Step 3: Cross multiply
    83,243.60x = 124,865.40 × 24,081.20
  4. Step 4: Simplify right side
    83,243.60x = 3,006,908,670.48
  5. Step 5: Solve for x
    x = 3,006,908,670.48/83,243.60
  6. Step 6: Final answer
    x = 36,121.80

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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.