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Finding the Fourth Proportional to 29,482, 40,685.16 and 16,234

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Solution

The fourth proportional to 29,482, 40,685.16 and 16,234 is: 22,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,482 : 40,685.16 = 16,234 : x
  2. Step 2: Convert to fraction form
    29,482/40,685.16 = 16,234/x
  3. Step 3: Cross multiply
    29,482x = 40,685.16 × 16,234
  4. Step 4: Simplify right side
    29,482x = 660,482,887.44
  5. Step 5: Solve for x
    x = 660,482,887.44/29,482
  6. Step 6: Final answer
    x = 22,402.92

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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.