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Finding the Fourth Proportional to 32,204.25, 44,426.75 and 22,778.01

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Solution

The fourth proportional to 32,204.25, 44,426.75 and 22,778.01 is: 31,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.25 : 44,426.75 = 22,778.01 : x
  2. Step 2: Convert to fraction form
    32,204.25/44,426.75 = 22,778.01/x
  3. Step 3: Cross multiply
    32,204.25x = 44,426.75 × 22,778.01
  4. Step 4: Simplify right side
    32,204.25x = 1,011,952,841.88
  5. Step 5: Solve for x
    x = 1,011,952,841.88/32,204.25
  6. Step 6: Final answer
    x = 31,422.96

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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.