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Finding the Fourth Proportional to 83,014.17, 114,572.39 and 49,026.33

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Solution

The fourth proportional to 83,014.17, 114,572.39 and 49,026.33 is: 67,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.17 : 114,572.39 = 49,026.33 : x
  2. Step 2: Convert to fraction form
    83,014.17/114,572.39 = 49,026.33/x
  3. Step 3: Cross multiply
    83,014.17x = 114,572.39 × 49,026.33
  4. Step 4: Simplify right side
    83,014.17x = 5,617,063,801.03
  5. Step 5: Solve for x
    x = 5,617,063,801.03/83,014.17
  6. Step 6: Final answer
    x = 67,663.92

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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.