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Finding the Fourth Proportional to 83,766.42, 115,603.11 and 51,956.46

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Solution

The fourth proportional to 83,766.42, 115,603.11 and 51,956.46 is: 71,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766.42 : 115,603.11 = 51,956.46 : x
  2. Step 2: Convert to fraction form
    83,766.42/115,603.11 = 51,956.46/x
  3. Step 3: Cross multiply
    83,766.42x = 115,603.11 × 51,956.46
  4. Step 4: Simplify right side
    83,766.42x = 6,006,328,360.59
  5. Step 5: Solve for x
    x = 6,006,328,360.59/83,766.42
  6. Step 6: Final answer
    x = 71,703.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.