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Finding the Fourth Proportional to 82,034, 113,207.28 and 47,585.52

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Solution

The fourth proportional to 82,034, 113,207.28 and 47,585.52 is: 65,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034 : 113,207.28 = 47,585.52 : x
  2. Step 2: Convert to fraction form
    82,034/113,207.28 = 47,585.52/x
  3. Step 3: Cross multiply
    82,034x = 113,207.28 × 47,585.52
  4. Step 4: Simplify right side
    82,034x = 5,387,027,286.59
  5. Step 5: Solve for x
    x = 5,387,027,286.59/82,034
  6. Step 6: Final answer
    x = 65,668.23

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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.