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Finding the Fourth Proportional to 83,039.16, 114,593.46 and 45,313.40

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Solution

The fourth proportional to 83,039.16, 114,593.46 and 45,313.40 is: 62,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.16 : 114,593.46 = 45,313.40 : x
  2. Step 2: Convert to fraction form
    83,039.16/114,593.46 = 45,313.40/x
  3. Step 3: Cross multiply
    83,039.16x = 114,593.46 × 45,313.40
  4. Step 4: Simplify right side
    83,039.16x = 5,192,619,290.36
  5. Step 5: Solve for x
    x = 5,192,619,290.36/83,039.16
  6. Step 6: Final answer
    x = 62,532.18

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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.