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Finding the Fourth Proportional to 83,791.85, 115,659.72 and 53,658.36

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Solution

The fourth proportional to 83,791.85, 115,659.72 and 53,658.36 is: 74,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791.85 : 115,659.72 = 53,658.36 : x
  2. Step 2: Convert to fraction form
    83,791.85/115,659.72 = 53,658.36/x
  3. Step 3: Cross multiply
    83,791.85x = 115,659.72 × 53,658.36
  4. Step 4: Simplify right side
    83,791.85x = 6,206,110,893.26
  5. Step 5: Solve for x
    x = 6,206,110,893.26/83,791.85
  6. Step 6: Final answer
    x = 74,065.81

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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.