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Finding the Fourth Proportional to 29,344.68, 40,498.38 and 16,767

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Solution

The fourth proportional to 29,344.68, 40,498.38 and 16,767 is: 23,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344.68 : 40,498.38 = 16,767 : x
  2. Step 2: Convert to fraction form
    29,344.68/40,498.38 = 16,767/x
  3. Step 3: Cross multiply
    29,344.68x = 40,498.38 × 16,767
  4. Step 4: Simplify right side
    29,344.68x = 679,036,337.46
  5. Step 5: Solve for x
    x = 679,036,337.46/29,344.68
  6. Step 6: Final answer
    x = 23,140.02

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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.