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Finding the Fourth Proportional to 30,728.31, 42,402.65 and 17,296.89

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Solution

The fourth proportional to 30,728.31, 42,402.65 and 17,296.89 is: 23,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.31 : 42,402.65 = 17,296.89 : x
  2. Step 2: Convert to fraction form
    30,728.31/42,402.65 = 17,296.89/x
  3. Step 3: Cross multiply
    30,728.31x = 42,402.65 × 17,296.89
  4. Step 4: Simplify right side
    30,728.31x = 733,433,886.27
  5. Step 5: Solve for x
    x = 733,433,886.27/30,728.31
  6. Step 6: Final answer
    x = 23,868.34

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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.