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Finding the Fourth Proportional to 83,595.97, 115,364.44 and 47,789.32

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Solution

The fourth proportional to 83,595.97, 115,364.44 and 47,789.32 is: 65,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,595.97 : 115,364.44 = 47,789.32 : x
  2. Step 2: Convert to fraction form
    83,595.97/115,364.44 = 47,789.32/x
  3. Step 3: Cross multiply
    83,595.97x = 115,364.44 × 47,789.32
  4. Step 4: Simplify right side
    83,595.97x = 5,513,188,139.78
  5. Step 5: Solve for x
    x = 5,513,188,139.78/83,595.97
  6. Step 6: Final answer
    x = 65,950.41

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1.5x scale

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.