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Finding the Fourth Proportional to 83,224.79, 124,855.70 and 38,827.33

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Solution

The fourth proportional to 83,224.79, 124,855.70 and 38,827.33 is: 58,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.79 : 124,855.70 = 38,827.33 : x
  2. Step 2: Convert to fraction form
    83,224.79/124,855.70 = 38,827.33/x
  3. Step 3: Cross multiply
    83,224.79x = 124,855.70 × 38,827.33
  4. Step 4: Simplify right side
    83,224.79x = 4,847,812,960.01
  5. Step 5: Solve for x
    x = 4,847,812,960.01/83,224.79
  6. Step 6: Final answer
    x = 58,249.63

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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.