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Finding the Fourth Proportional to 37,614.30, 51,884.13 and 24,202.98

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Solution

The fourth proportional to 37,614.30, 51,884.13 and 24,202.98 is: 33,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.30 : 51,884.13 = 24,202.98 : x
  2. Step 2: Convert to fraction form
    37,614.30/51,884.13 = 24,202.98/x
  3. Step 3: Cross multiply
    37,614.30x = 51,884.13 × 24,202.98
  4. Step 4: Simplify right side
    37,614.30x = 1,255,750,560.71
  5. Step 5: Solve for x
    x = 1,255,750,560.71/37,614.30
  6. Step 6: Final answer
    x = 33,384.92

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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.