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Finding the Fourth Proportional to 83,218.74, 124,823.22 and 24,053.10

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Solution

The fourth proportional to 83,218.74, 124,823.22 and 24,053.10 is: 36,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.74 : 124,823.22 = 24,053.10 : x
  2. Step 2: Convert to fraction form
    83,218.74/124,823.22 = 24,053.10/x
  3. Step 3: Cross multiply
    83,218.74x = 124,823.22 × 24,053.10
  4. Step 4: Simplify right side
    83,218.74x = 3,002,385,392.98
  5. Step 5: Solve for x
    x = 3,002,385,392.98/83,218.74
  6. Step 6: Final answer
    x = 36,078.24

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1.5x scale

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.