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Finding the Fourth Proportional to 50,561.68, 75,854.34 and 17,282

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Solution

The fourth proportional to 50,561.68, 75,854.34 and 17,282 is: 25,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,561.68 : 75,854.34 = 17,282 : x
  2. Step 2: Convert to fraction form
    50,561.68/75,854.34 = 17,282/x
  3. Step 3: Cross multiply
    50,561.68x = 75,854.34 × 17,282
  4. Step 4: Simplify right side
    50,561.68x = 1,310,914,703.88
  5. Step 5: Solve for x
    x = 1,310,914,703.88/50,561.68
  6. Step 6: Final answer
    x = 25,927.04

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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.