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Finding the Fourth Proportional to 32,846, 45,327.48 and 17,942

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Solution

The fourth proportional to 32,846, 45,327.48 and 17,942 is: 24,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846 : 45,327.48 = 17,942 : x
  2. Step 2: Convert to fraction form
    32,846/45,327.48 = 17,942/x
  3. Step 3: Cross multiply
    32,846x = 45,327.48 × 17,942
  4. Step 4: Simplify right side
    32,846x = 813,265,646.16
  5. Step 5: Solve for x
    x = 813,265,646.16/32,846
  6. Step 6: Final answer
    x = 24,759.96

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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.