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Finding the Fourth Proportional to 83,112.32, 114,679.56 and 47,300.20

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Solution

The fourth proportional to 83,112.32, 114,679.56 and 47,300.20 is: 65,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.32 : 114,679.56 = 47,300.20 : x
  2. Step 2: Convert to fraction form
    83,112.32/114,679.56 = 47,300.20/x
  3. Step 3: Cross multiply
    83,112.32x = 114,679.56 × 47,300.20
  4. Step 4: Simplify right side
    83,112.32x = 5,424,366,123.91
  5. Step 5: Solve for x
    x = 5,424,366,123.91/83,112.32
  6. Step 6: Final answer
    x = 65,265.49

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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.