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Finding the Fourth Proportional to 34,780.55, 52,169.96 and 9,820.24

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Solution

The fourth proportional to 34,780.55, 52,169.96 and 9,820.24 is: 14,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.55 : 52,169.96 = 9,820.24 : x
  2. Step 2: Convert to fraction form
    34,780.55/52,169.96 = 9,820.24/x
  3. Step 3: Cross multiply
    34,780.55x = 52,169.96 × 9,820.24
  4. Step 4: Simplify right side
    34,780.55x = 512,321,422.12
  5. Step 5: Solve for x
    x = 512,321,422.12/34,780.55
  6. Step 6: Final answer
    x = 14,730.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.