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Finding the Fourth Proportional to 83,514.16, 115,254.26 and 49,542.76

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Solution

The fourth proportional to 83,514.16, 115,254.26 and 49,542.76 is: 68,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514.16 : 115,254.26 = 49,542.76 : x
  2. Step 2: Convert to fraction form
    83,514.16/115,254.26 = 49,542.76/x
  3. Step 3: Cross multiply
    83,514.16x = 115,254.26 × 49,542.76
  4. Step 4: Simplify right side
    83,514.16x = 5,710,013,894.44
  5. Step 5: Solve for x
    x = 5,710,013,894.44/83,514.16
  6. Step 6: Final answer
    x = 68,371.81

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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.