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Finding the Fourth Proportional to 37,282.32, 55,812.42 and 24,759

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Solution

The fourth proportional to 37,282.32, 55,812.42 and 24,759 is: 37,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282.32 : 55,812.42 = 24,759 : x
  2. Step 2: Convert to fraction form
    37,282.32/55,812.42 = 24,759/x
  3. Step 3: Cross multiply
    37,282.32x = 55,812.42 × 24,759
  4. Step 4: Simplify right side
    37,282.32x = 1,381,859,706.78
  5. Step 5: Solve for x
    x = 1,381,859,706.78/37,282.32
  6. Step 6: Final answer
    x = 37,064.75

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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.