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Finding the Fourth Proportional to 40,096, 55,327.86 and 22,188.52

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Solution

The fourth proportional to 40,096, 55,327.86 and 22,188.52 is: 30,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,096 : 55,327.86 = 22,188.52 : x
  2. Step 2: Convert to fraction form
    40,096/55,327.86 = 22,188.52/x
  3. Step 3: Cross multiply
    40,096x = 55,327.86 × 22,188.52
  4. Step 4: Simplify right side
    40,096x = 1,227,643,328.17
  5. Step 5: Solve for x
    x = 1,227,643,328.17/40,096
  6. Step 6: Final answer
    x = 30,617.60

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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.