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Finding the Fourth Proportional to 71,853.89, 107,218.89 and 64,382.24

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Solution

The fourth proportional to 71,853.89, 107,218.89 and 64,382.24 is: 96,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853.89 : 107,218.89 = 64,382.24 : x
  2. Step 2: Convert to fraction form
    71,853.89/107,218.89 = 64,382.24/x
  3. Step 3: Cross multiply
    71,853.89x = 107,218.89 × 64,382.24
  4. Step 4: Simplify right side
    71,853.89x = 6,902,992,576.56
  5. Step 5: Solve for x
    x = 6,902,992,576.56/71,853.89
  6. Step 6: Final answer
    x = 96,069.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.