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Finding the Fourth Proportional to 98,144.80, 147,217.25 and 31,584.93

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Solution

The fourth proportional to 98,144.80, 147,217.25 and 31,584.93 is: 47,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144.80 : 147,217.25 = 31,584.93 : x
  2. Step 2: Convert to fraction form
    98,144.80/147,217.25 = 31,584.93/x
  3. Step 3: Cross multiply
    98,144.80x = 147,217.25 × 31,584.93
  4. Step 4: Simplify right side
    98,144.80x = 4,649,846,536.04
  5. Step 5: Solve for x
    x = 4,649,846,536.04/98,144.80
  6. Step 6: Final answer
    x = 47,377.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.