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Finding the Fourth Proportional to 83,042.89, 114,605.53 and 47,230.77

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Solution

The fourth proportional to 83,042.89, 114,605.53 and 47,230.77 is: 65,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.89 : 114,605.53 = 47,230.77 : x
  2. Step 2: Convert to fraction form
    83,042.89/114,605.53 = 47,230.77/x
  3. Step 3: Cross multiply
    83,042.89x = 114,605.53 × 47,230.77
  4. Step 4: Simplify right side
    83,042.89x = 5,412,906,855.13
  5. Step 5: Solve for x
    x = 5,412,906,855.13/83,042.89
  6. Step 6: Final answer
    x = 65,182.06

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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.