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Finding the Fourth Proportional to 83,489.94, 115,158.31 and 51,639.93

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Solution

The fourth proportional to 83,489.94, 115,158.31 and 51,639.93 is: 71,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,489.94 : 115,158.31 = 51,639.93 : x
  2. Step 2: Convert to fraction form
    83,489.94/115,158.31 = 51,639.93/x
  3. Step 3: Cross multiply
    83,489.94x = 115,158.31 × 51,639.93
  4. Step 4: Simplify right side
    83,489.94x = 5,946,766,938.22
  5. Step 5: Solve for x
    x = 5,946,766,938.22/83,489.94
  6. Step 6: Final answer
    x = 71,227.35

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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.