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Finding the Fourth Proportional to 30,073.68, 41,504.40 and 17,496

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Solution

The fourth proportional to 30,073.68, 41,504.40 and 17,496 is: 24,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073.68 : 41,504.40 = 17,496 : x
  2. Step 2: Convert to fraction form
    30,073.68/41,504.40 = 17,496/x
  3. Step 3: Cross multiply
    30,073.68x = 41,504.40 × 17,496
  4. Step 4: Simplify right side
    30,073.68x = 726,160,982.40
  5. Step 5: Solve for x
    x = 726,160,982.40/30,073.68
  6. Step 6: Final answer
    x = 24,146.06

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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.