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Finding the Fourth Proportional to 30,144.38, 41,598.48 and 16,715.42

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Solution

The fourth proportional to 30,144.38, 41,598.48 and 16,715.42 is: 23,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.38 : 41,598.48 = 16,715.42 : x
  2. Step 2: Convert to fraction form
    30,144.38/41,598.48 = 16,715.42/x
  3. Step 3: Cross multiply
    30,144.38x = 41,598.48 × 16,715.42
  4. Step 4: Simplify right side
    30,144.38x = 695,336,064.56
  5. Step 5: Solve for x
    x = 695,336,064.56/30,144.38
  6. Step 6: Final answer
    x = 23,066.86

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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.