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Finding the Fourth Proportional to 83,715.60, 115,494.84 and 47,886.48

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Solution

The fourth proportional to 83,715.60, 115,494.84 and 47,886.48 is: 66,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.60 : 115,494.84 = 47,886.48 : x
  2. Step 2: Convert to fraction form
    83,715.60/115,494.84 = 47,886.48/x
  3. Step 3: Cross multiply
    83,715.60x = 115,494.84 × 47,886.48
  4. Step 4: Simplify right side
    83,715.60x = 5,530,641,345.76
  5. Step 5: Solve for x
    x = 5,530,641,345.76/83,715.60
  6. Step 6: Final answer
    x = 66,064.64

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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.