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Finding the Fourth Proportional to 83,011.46, 114,555.28 and 47,201.47

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Solution

The fourth proportional to 83,011.46, 114,555.28 and 47,201.47 is: 65,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,011.46 : 114,555.28 = 47,201.47 : x
  2. Step 2: Convert to fraction form
    83,011.46/114,555.28 = 47,201.47/x
  3. Step 3: Cross multiply
    83,011.46x = 114,555.28 × 47,201.47
  4. Step 4: Simplify right side
    83,011.46x = 5,407,177,612.26
  5. Step 5: Solve for x
    x = 5,407,177,612.26/83,011.46
  6. Step 6: Final answer
    x = 65,137.72

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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.