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Finding the Fourth Proportional to 30,824.95, 42,540.68 and 17,397.38

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Solution

The fourth proportional to 30,824.95, 42,540.68 and 17,397.38 is: 24,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.95 : 42,540.68 = 17,397.38 : x
  2. Step 2: Convert to fraction form
    30,824.95/42,540.68 = 17,397.38/x
  3. Step 3: Cross multiply
    30,824.95x = 42,540.68 × 17,397.38
  4. Step 4: Simplify right side
    30,824.95x = 740,096,375.42
  5. Step 5: Solve for x
    x = 740,096,375.42/30,824.95
  6. Step 6: Final answer
    x = 24,009.65

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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.