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Finding the Fourth Proportional to 49,870.87, 68,847.23 and 38,514.87

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Solution

The fourth proportional to 49,870.87, 68,847.23 and 38,514.87 is: 53,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,870.87 : 68,847.23 = 38,514.87 : x
  2. Step 2: Convert to fraction form
    49,870.87/68,847.23 = 38,514.87/x
  3. Step 3: Cross multiply
    49,870.87x = 68,847.23 × 38,514.87
  4. Step 4: Simplify right side
    49,870.87x = 2,651,642,113.31
  5. Step 5: Solve for x
    x = 2,651,642,113.31/49,870.87
  6. Step 6: Final answer
    x = 53,170.16

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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.