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Finding the Fourth Proportional to 71,198.61, 98,231.88 and 47,329.33

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Solution

The fourth proportional to 71,198.61, 98,231.88 and 47,329.33 is: 65,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.61 : 98,231.88 = 47,329.33 : x
  2. Step 2: Convert to fraction form
    71,198.61/98,231.88 = 47,329.33/x
  3. Step 3: Cross multiply
    71,198.61x = 98,231.88 × 47,329.33
  4. Step 4: Simplify right side
    71,198.61x = 4,649,249,065.04
  5. Step 5: Solve for x
    x = 4,649,249,065.04/71,198.61
  6. Step 6: Final answer
    x = 65,299.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.