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Finding the Fourth Proportional to 23,612.70, 35,428.47 and 23,239.50

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Solution

The fourth proportional to 23,612.70, 35,428.47 and 23,239.50 is: 34,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.70 : 35,428.47 = 23,239.50 : x
  2. Step 2: Convert to fraction form
    23,612.70/35,428.47 = 23,239.50/x
  3. Step 3: Cross multiply
    23,612.70x = 35,428.47 × 23,239.50
  4. Step 4: Simplify right side
    23,612.70x = 823,339,928.57
  5. Step 5: Solve for x
    x = 823,339,928.57/23,612.70
  6. Step 6: Final answer
    x = 34,868.52

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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.