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Finding the Fourth Proportional to 29,874.14, 41,224.74 and 16,442.78

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Solution

The fourth proportional to 29,874.14, 41,224.74 and 16,442.78 is: 22,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.14 : 41,224.74 = 16,442.78 : x
  2. Step 2: Convert to fraction form
    29,874.14/41,224.74 = 16,442.78/x
  3. Step 3: Cross multiply
    29,874.14x = 41,224.74 × 16,442.78
  4. Step 4: Simplify right side
    29,874.14x = 677,849,330.38
  5. Step 5: Solve for x
    x = 677,849,330.38/29,874.14
  6. Step 6: Final answer
    x = 22,690.17

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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.