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Finding the Fourth Proportional to 83,074.73, 114,627.79 and 47,262.65

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Solution

The fourth proportional to 83,074.73, 114,627.79 and 47,262.65 is: 65,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.73 : 114,627.79 = 47,262.65 : x
  2. Step 2: Convert to fraction form
    83,074.73/114,627.79 = 47,262.65/x
  3. Step 3: Cross multiply
    83,074.73x = 114,627.79 × 47,262.65
  4. Step 4: Simplify right side
    83,074.73x = 5,417,613,119.04
  5. Step 5: Solve for x
    x = 5,417,613,119.04/83,074.73
  6. Step 6: Final answer
    x = 65,213.73

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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.