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Finding the Fourth Proportional to 32,008, 44,170.88 and 17,860

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Solution

The fourth proportional to 32,008, 44,170.88 and 17,860 is: 24,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008 : 44,170.88 = 17,860 : x
  2. Step 2: Convert to fraction form
    32,008/44,170.88 = 17,860/x
  3. Step 3: Cross multiply
    32,008x = 44,170.88 × 17,860
  4. Step 4: Simplify right side
    32,008x = 788,891,916.80
  5. Step 5: Solve for x
    x = 788,891,916.80/32,008
  6. Step 6: Final answer
    x = 24,646.71

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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.