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Finding the Fourth Proportional to 83,751.91, 115,582.07 and 47,460.40

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Solution

The fourth proportional to 83,751.91, 115,582.07 and 47,460.40 is: 65,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.91 : 115,582.07 = 47,460.40 : x
  2. Step 2: Convert to fraction form
    83,751.91/115,582.07 = 47,460.40/x
  3. Step 3: Cross multiply
    83,751.91x = 115,582.07 × 47,460.40
  4. Step 4: Simplify right side
    83,751.91x = 5,485,571,037.73
  5. Step 5: Solve for x
    x = 5,485,571,037.73/83,751.91
  6. Step 6: Final answer
    x = 65,497.86

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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.