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Finding the Fourth Proportional to 30,070.56, 41,496.34 and 16,642.38

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Solution

The fourth proportional to 30,070.56, 41,496.34 and 16,642.38 is: 22,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070.56 : 41,496.34 = 16,642.38 : x
  2. Step 2: Convert to fraction form
    30,070.56/41,496.34 = 16,642.38/x
  3. Step 3: Cross multiply
    30,070.56x = 41,496.34 × 16,642.38
  4. Step 4: Simplify right side
    30,070.56x = 690,597,568.20
  5. Step 5: Solve for x
    x = 690,597,568.20/30,070.56
  6. Step 6: Final answer
    x = 22,965.91

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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.