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Finding the Fourth Proportional to 32,657.38, 45,066.10 and 19,229.43

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Solution

The fourth proportional to 32,657.38, 45,066.10 and 19,229.43 is: 26,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.38 : 45,066.10 = 19,229.43 : x
  2. Step 2: Convert to fraction form
    32,657.38/45,066.10 = 19,229.43/x
  3. Step 3: Cross multiply
    32,657.38x = 45,066.10 × 19,229.43
  4. Step 4: Simplify right side
    32,657.38x = 866,595,137.97
  5. Step 5: Solve for x
    x = 866,595,137.97/32,657.38
  6. Step 6: Final answer
    x = 26,535.97

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Why These Related Problems?

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