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Finding the Fourth Proportional to 24,675.75, 37,017.47 and 8,031.85

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Solution

The fourth proportional to 24,675.75, 37,017.47 and 8,031.85 is: 12,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.75 : 37,017.47 = 8,031.85 : x
  2. Step 2: Convert to fraction form
    24,675.75/37,017.47 = 8,031.85/x
  3. Step 3: Cross multiply
    24,675.75x = 37,017.47 × 8,031.85
  4. Step 4: Simplify right side
    24,675.75x = 297,318,693.96
  5. Step 5: Solve for x
    x = 297,318,693.96/24,675.75
  6. Step 6: Final answer
    x = 12,049.02

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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.