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Finding the Fourth Proportional to 83,132.40, 114,694.26 and 47,313.45

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Solution

The fourth proportional to 83,132.40, 114,694.26 and 47,313.45 is: 65,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.40 : 114,694.26 = 47,313.45 : x
  2. Step 2: Convert to fraction form
    83,132.40/114,694.26 = 47,313.45/x
  3. Step 3: Cross multiply
    83,132.40x = 114,694.26 × 47,313.45
  4. Step 4: Simplify right side
    83,132.40x = 5,426,581,135.80
  5. Step 5: Solve for x
    x = 5,426,581,135.80/83,132.40
  6. Step 6: Final answer
    x = 65,276.37

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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.