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Finding the Fourth Proportional to 80,792, 111,493.44 and 45,464

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Solution

The fourth proportional to 80,792, 111,493.44 and 45,464 is: 62,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,792 : 111,493.44 = 45,464 : x
  2. Step 2: Convert to fraction form
    80,792/111,493.44 = 45,464/x
  3. Step 3: Cross multiply
    80,792x = 111,493.44 × 45,464
  4. Step 4: Simplify right side
    80,792x = 5,068,937,756.16
  5. Step 5: Solve for x
    x = 5,068,937,756.16/80,792
  6. Step 6: Final answer
    x = 62,740.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.