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Finding the Fourth Proportional to 34,343.70, 51,406.20 and 24,502.20

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Solution

The fourth proportional to 34,343.70, 51,406.20 and 24,502.20 is: 36,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,343.70 : 51,406.20 = 24,502.20 : x
  2. Step 2: Convert to fraction form
    34,343.70/51,406.20 = 24,502.20/x
  3. Step 3: Cross multiply
    34,343.70x = 51,406.20 × 24,502.20
  4. Step 4: Simplify right side
    34,343.70x = 1,259,564,993.64
  5. Step 5: Solve for x
    x = 1,259,564,993.64/34,343.70
  6. Step 6: Final answer
    x = 36,675.29

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Why These Related Problems?

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