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Finding the Fourth Proportional to 83,254.74, 124,894.41 and 24,082.72

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Solution

The fourth proportional to 83,254.74, 124,894.41 and 24,082.72 is: 36,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,254.74 : 124,894.41 = 24,082.72 : x
  2. Step 2: Convert to fraction form
    83,254.74/124,894.41 = 24,082.72/x
  3. Step 3: Cross multiply
    83,254.74x = 124,894.41 × 24,082.72
  4. Step 4: Simplify right side
    83,254.74x = 3,007,796,703.05
  5. Step 5: Solve for x
    x = 3,007,796,703.05/83,254.74
  6. Step 6: Final answer
    x = 36,127.63

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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.