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Finding the Fourth Proportional to 40,102.51, 55,340.76 and 22,197.12

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Solution

The fourth proportional to 40,102.51, 55,340.76 and 22,197.12 is: 30,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102.51 : 55,340.76 = 22,197.12 : x
  2. Step 2: Convert to fraction form
    40,102.51/55,340.76 = 22,197.12/x
  3. Step 3: Cross multiply
    40,102.51x = 55,340.76 × 22,197.12
  4. Step 4: Simplify right side
    40,102.51x = 1,228,405,490.61
  5. Step 5: Solve for x
    x = 1,228,405,490.61/40,102.51
  6. Step 6: Final answer
    x = 30,631.64

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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.