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Finding the Fourth Proportional to 83,061.15, 114,635.34 and 47,244.24

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Solution

The fourth proportional to 83,061.15, 114,635.34 and 47,244.24 is: 65,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,061.15 : 114,635.34 = 47,244.24 : x
  2. Step 2: Convert to fraction form
    83,061.15/114,635.34 = 47,244.24/x
  3. Step 3: Cross multiply
    83,061.15x = 114,635.34 × 47,244.24
  4. Step 4: Simplify right side
    83,061.15x = 5,415,859,515.44
  5. Step 5: Solve for x
    x = 5,415,859,515.44/83,061.15
  6. Step 6: Final answer
    x = 65,203.28

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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.