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Finding the Fourth Proportional to 83,619, 115,393.68 and 45,893.52

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Solution

The fourth proportional to 83,619, 115,393.68 and 45,893.52 is: 63,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 115,393.68 = 45,893.52 : x
  2. Step 2: Convert to fraction form
    83,619/115,393.68 = 45,893.52/x
  3. Step 3: Cross multiply
    83,619x = 115,393.68 × 45,893.52
  4. Step 4: Simplify right side
    83,619x = 5,295,822,160.95
  5. Step 5: Solve for x
    x = 5,295,822,160.95/83,619
  6. Step 6: Final answer
    x = 63,332.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.