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Finding the Fourth Proportional to 30,842.56, 42,560.40 and 17,411.95

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Solution

The fourth proportional to 30,842.56, 42,560.40 and 17,411.95 is: 24,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.56 : 42,560.40 = 17,411.95 : x
  2. Step 2: Convert to fraction form
    30,842.56/42,560.40 = 17,411.95/x
  3. Step 3: Cross multiply
    30,842.56x = 42,560.40 × 17,411.95
  4. Step 4: Simplify right side
    30,842.56x = 741,059,556.78
  5. Step 5: Solve for x
    x = 741,059,556.78/30,842.56
  6. Step 6: Final answer
    x = 24,027.17

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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.