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Finding the Fourth Proportional to 40,214.16, 55,494.90 and 22,308.84

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Solution

The fourth proportional to 40,214.16, 55,494.90 and 22,308.84 is: 30,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214.16 : 55,494.90 = 22,308.84 : x
  2. Step 2: Convert to fraction form
    40,214.16/55,494.90 = 22,308.84/x
  3. Step 3: Cross multiply
    40,214.16x = 55,494.90 × 22,308.84
  4. Step 4: Simplify right side
    40,214.16x = 1,238,026,844.92
  5. Step 5: Solve for x
    x = 1,238,026,844.92/40,214.16
  6. Step 6: Final answer
    x = 30,785.84

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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.