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Finding the Fourth Proportional to 83,533.26, 115,274.50 and 47,234.13

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Solution

The fourth proportional to 83,533.26, 115,274.50 and 47,234.13 is: 65,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.26 : 115,274.50 = 47,234.13 : x
  2. Step 2: Convert to fraction form
    83,533.26/115,274.50 = 47,234.13/x
  3. Step 3: Cross multiply
    83,533.26x = 115,274.50 × 47,234.13
  4. Step 4: Simplify right side
    83,533.26x = 5,444,890,718.69
  5. Step 5: Solve for x
    x = 5,444,890,718.69/83,533.26
  6. Step 6: Final answer
    x = 65,182.31

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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.