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Finding the Fourth Proportional to 83,539.52, 125,267.81 and 26,606

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Solution

The fourth proportional to 83,539.52, 125,267.81 and 26,606 is: 39,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.52 : 125,267.81 = 26,606 : x
  2. Step 2: Convert to fraction form
    83,539.52/125,267.81 = 26,606/x
  3. Step 3: Cross multiply
    83,539.52x = 125,267.81 × 26,606
  4. Step 4: Simplify right side
    83,539.52x = 3,332,875,352.86
  5. Step 5: Solve for x
    x = 3,332,875,352.86/83,539.52
  6. Step 6: Final answer
    x = 39,895.79

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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.