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Finding the Fourth Proportional to 54,812, 75,641.10 and 29,662.04

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Solution

The fourth proportional to 54,812, 75,641.10 and 29,662.04 is: 40,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812 : 75,641.10 = 29,662.04 : x
  2. Step 2: Convert to fraction form
    54,812/75,641.10 = 29,662.04/x
  3. Step 3: Cross multiply
    54,812x = 75,641.10 × 29,662.04
  4. Step 4: Simplify right side
    54,812x = 2,243,669,333.84
  5. Step 5: Solve for x
    x = 2,243,669,333.84/54,812
  6. Step 6: Final answer
    x = 40,933.91

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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.