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Finding the Fourth Proportional to 30,589.90, 42,228.92 and 20,514.68

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Solution

The fourth proportional to 30,589.90, 42,228.92 and 20,514.68 is: 28,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.90 : 42,228.92 = 20,514.68 : x
  2. Step 2: Convert to fraction form
    30,589.90/42,228.92 = 20,514.68/x
  3. Step 3: Cross multiply
    30,589.90x = 42,228.92 × 20,514.68
  4. Step 4: Simplify right side
    30,589.90x = 866,312,780.55
  5. Step 5: Solve for x
    x = 866,312,780.55/30,589.90
  6. Step 6: Final answer
    x = 28,320.22

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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.