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Finding the Fourth Proportional to 45,902.52, 68,707.92 and 24,812.52

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Solution

The fourth proportional to 45,902.52, 68,707.92 and 24,812.52 is: 37,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.52 : 68,707.92 = 24,812.52 : x
  2. Step 2: Convert to fraction form
    45,902.52/68,707.92 = 24,812.52/x
  3. Step 3: Cross multiply
    45,902.52x = 68,707.92 × 24,812.52
  4. Step 4: Simplify right side
    45,902.52x = 1,704,816,639.16
  5. Step 5: Solve for x
    x = 1,704,816,639.16/45,902.52
  6. Step 6: Final answer
    x = 37,139.94

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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.