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Finding the Fourth Proportional to 23,500.50, 35,251.71 and 5,970.78

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Solution

The fourth proportional to 23,500.50, 35,251.71 and 5,970.78 is: 8,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.50 : 35,251.71 = 5,970.78 : x
  2. Step 2: Convert to fraction form
    23,500.50/35,251.71 = 5,970.78/x
  3. Step 3: Cross multiply
    23,500.50x = 35,251.71 × 5,970.78
  4. Step 4: Simplify right side
    23,500.50x = 210,480,205.03
  5. Step 5: Solve for x
    x = 210,480,205.03/23,500.50
  6. Step 6: Final answer
    x = 8,956.41

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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.