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Finding the Fourth Proportional to 30,514.56, 42,118.32 and 17,947.68

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Solution

The fourth proportional to 30,514.56, 42,118.32 and 17,947.68 is: 24,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.56 : 42,118.32 = 17,947.68 : x
  2. Step 2: Convert to fraction form
    30,514.56/42,118.32 = 17,947.68/x
  3. Step 3: Cross multiply
    30,514.56x = 42,118.32 × 17,947.68
  4. Step 4: Simplify right side
    30,514.56x = 755,926,129.50
  5. Step 5: Solve for x
    x = 755,926,129.50/30,514.56
  6. Step 6: Final answer
    x = 24,772.64

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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.