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Finding the Fourth Proportional to 30,656.34, 42,306.98 and 17,227.55

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Solution

The fourth proportional to 30,656.34, 42,306.98 and 17,227.55 is: 23,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.34 : 42,306.98 = 17,227.55 : x
  2. Step 2: Convert to fraction form
    30,656.34/42,306.98 = 17,227.55/x
  3. Step 3: Cross multiply
    30,656.34x = 42,306.98 × 17,227.55
  4. Step 4: Simplify right side
    30,656.34x = 728,845,613.30
  5. Step 5: Solve for x
    x = 728,845,613.30/30,656.34
  6. Step 6: Final answer
    x = 23,774.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.