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Finding the Fourth Proportional to 30,856.38, 42,566.13 and 18,101.22

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Solution

The fourth proportional to 30,856.38, 42,566.13 and 18,101.22 is: 24,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.38 : 42,566.13 = 18,101.22 : x
  2. Step 2: Convert to fraction form
    30,856.38/42,566.13 = 18,101.22/x
  3. Step 3: Cross multiply
    30,856.38x = 42,566.13 × 18,101.22
  4. Step 4: Simplify right side
    30,856.38x = 770,498,883.68
  5. Step 5: Solve for x
    x = 770,498,883.68/30,856.38
  6. Step 6: Final answer
    x = 24,970.49

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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.