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Finding the Fourth Proportional to 54,195, 81,445.32 and 32,018.28

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Solution

The fourth proportional to 54,195, 81,445.32 and 32,018.28 is: 48,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,195 : 81,445.32 = 32,018.28 : x
  2. Step 2: Convert to fraction form
    54,195/81,445.32 = 32,018.28/x
  3. Step 3: Cross multiply
    54,195x = 81,445.32 × 32,018.28
  4. Step 4: Simplify right side
    54,195x = 2,607,739,060.45
  5. Step 5: Solve for x
    x = 2,607,739,060.45/54,195
  6. Step 6: Final answer
    x = 48,117.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.