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Finding the Fourth Proportional to 40,102.95, 55,342.56 and 22,199.61

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Solution

The fourth proportional to 40,102.95, 55,342.56 and 22,199.61 is: 30,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102.95 : 55,342.56 = 22,199.61 : x
  2. Step 2: Convert to fraction form
    40,102.95/55,342.56 = 22,199.61/x
  3. Step 3: Cross multiply
    40,102.95x = 55,342.56 × 22,199.61
  4. Step 4: Simplify right side
    40,102.95x = 1,228,583,248.40
  5. Step 5: Solve for x
    x = 1,228,583,248.40/40,102.95
  6. Step 6: Final answer
    x = 30,635.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.