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Finding the Fourth Proportional to 30,642.56, 42,288.48 and 17,214.88

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Solution

The fourth proportional to 30,642.56, 42,288.48 and 17,214.88 is: 23,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.56 : 42,288.48 = 17,214.88 : x
  2. Step 2: Convert to fraction form
    30,642.56/42,288.48 = 17,214.88/x
  3. Step 3: Cross multiply
    30,642.56x = 42,288.48 × 17,214.88
  4. Step 4: Simplify right side
    30,642.56x = 727,991,108.58
  5. Step 5: Solve for x
    x = 727,991,108.58/30,642.56
  6. Step 6: Final answer
    x = 23,757.52

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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.