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Finding the Fourth Proportional to 83,288, 124,932.12 and 34,040

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Solution

The fourth proportional to 83,288, 124,932.12 and 34,040 is: 51,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288 : 124,932.12 = 34,040 : x
  2. Step 2: Convert to fraction form
    83,288/124,932.12 = 34,040/x
  3. Step 3: Cross multiply
    83,288x = 124,932.12 × 34,040
  4. Step 4: Simplify right side
    83,288x = 4,252,689,364.80
  5. Step 5: Solve for x
    x = 4,252,689,364.80/83,288
  6. Step 6: Final answer
    x = 51,060.05

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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.