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Finding the Fourth Proportional to 73,792, 110,688 and 24,544

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Solution

The fourth proportional to 73,792, 110,688 and 24,544 is: 36,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792 : 110,688 = 24,544 : x
  2. Step 2: Convert to fraction form
    73,792/110,688 = 24,544/x
  3. Step 3: Cross multiply
    73,792x = 110,688 × 24,544
  4. Step 4: Simplify right side
    73,792x = 2,716,726,272
  5. Step 5: Solve for x
    x = 2,716,726,272/73,792
  6. Step 6: Final answer
    x = 36,816

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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.