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Finding the Fourth Proportional to 39,978.18, 55,165.05 and 22,071.78

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Solution

The fourth proportional to 39,978.18, 55,165.05 and 22,071.78 is: 30,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,978.18 : 55,165.05 = 22,071.78 : x
  2. Step 2: Convert to fraction form
    39,978.18/55,165.05 = 22,071.78/x
  3. Step 3: Cross multiply
    39,978.18x = 55,165.05 × 22,071.78
  4. Step 4: Simplify right side
    39,978.18x = 1,217,590,847.29
  5. Step 5: Solve for x
    x = 1,217,590,847.29/39,978.18
  6. Step 6: Final answer
    x = 30,456.39

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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.