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Finding the Fourth Proportional to 40,169.67, 55,434 and 22,264.50

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Solution

The fourth proportional to 40,169.67, 55,434 and 22,264.50 is: 30,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,169.67 : 55,434 = 22,264.50 : x
  2. Step 2: Convert to fraction form
    40,169.67/55,434 = 22,264.50/x
  3. Step 3: Cross multiply
    40,169.67x = 55,434 × 22,264.50
  4. Step 4: Simplify right side
    40,169.67x = 1,234,210,293
  5. Step 5: Solve for x
    x = 1,234,210,293/40,169.67
  6. Step 6: Final answer
    x = 30,724.93

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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.