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Finding the Fourth Proportional to 71,674.29, 107,053.08 and 64,909.80

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Solution

The fourth proportional to 71,674.29, 107,053.08 and 64,909.80 is: 96,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.29 : 107,053.08 = 64,909.80 : x
  2. Step 2: Convert to fraction form
    71,674.29/107,053.08 = 64,909.80/x
  3. Step 3: Cross multiply
    71,674.29x = 107,053.08 × 64,909.80
  4. Step 4: Simplify right side
    71,674.29x = 6,948,794,012.18
  5. Step 5: Solve for x
    x = 6,948,794,012.18/71,674.29
  6. Step 6: Final answer
    x = 96,949.60

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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.