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Finding the Fourth Proportional to 48,894, 73,341 and 17,729.28

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Solution

The fourth proportional to 48,894, 73,341 and 17,729.28 is: 26,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894 : 73,341 = 17,729.28 : x
  2. Step 2: Convert to fraction form
    48,894/73,341 = 17,729.28/x
  3. Step 3: Cross multiply
    48,894x = 73,341 × 17,729.28
  4. Step 4: Simplify right side
    48,894x = 1,300,283,124.48
  5. Step 5: Solve for x
    x = 1,300,283,124.48/48,894
  6. Step 6: Final answer
    x = 26,593.92

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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.