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Finding the Fourth Proportional to 96,167.04, 132,709.77 and 53,149.43

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Solution

The fourth proportional to 96,167.04, 132,709.77 and 53,149.43 is: 73,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,167.04 : 132,709.77 = 53,149.43 : x
  2. Step 2: Convert to fraction form
    96,167.04/132,709.77 = 53,149.43/x
  3. Step 3: Cross multiply
    96,167.04x = 132,709.77 × 53,149.43
  4. Step 4: Simplify right side
    96,167.04x = 7,053,447,967.38
  5. Step 5: Solve for x
    x = 7,053,447,967.38/96,167.04
  6. Step 6: Final answer
    x = 73,345.79

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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.