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Finding the Fourth Proportional to 83,047.09, 114,605.13 and 45,321.34

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Solution

The fourth proportional to 83,047.09, 114,605.13 and 45,321.34 is: 62,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.09 : 114,605.13 = 45,321.34 : x
  2. Step 2: Convert to fraction form
    83,047.09/114,605.13 = 45,321.34/x
  3. Step 3: Cross multiply
    83,047.09x = 114,605.13 × 45,321.34
  4. Step 4: Simplify right side
    83,047.09x = 5,194,058,062.47
  5. Step 5: Solve for x
    x = 5,194,058,062.47/83,047.09
  6. Step 6: Final answer
    x = 62,543.53

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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.