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Finding the Fourth Proportional to 83,894.87, 115,748.86 and 47,590.33

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Solution

The fourth proportional to 83,894.87, 115,748.86 and 47,590.33 is: 65,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.87 : 115,748.86 = 47,590.33 : x
  2. Step 2: Convert to fraction form
    83,894.87/115,748.86 = 47,590.33/x
  3. Step 3: Cross multiply
    83,894.87x = 115,748.86 × 47,590.33
  4. Step 4: Simplify right side
    83,894.87x = 5,508,526,444.52
  5. Step 5: Solve for x
    x = 5,508,526,444.52/83,894.87
  6. Step 6: Final answer
    x = 65,659.87

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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.