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Finding the Fourth Proportional to 54,957, 75,841.20 and 29,807.04

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Solution

The fourth proportional to 54,957, 75,841.20 and 29,807.04 is: 41,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,957 : 75,841.20 = 29,807.04 : x
  2. Step 2: Convert to fraction form
    54,957/75,841.20 = 29,807.04/x
  3. Step 3: Cross multiply
    54,957x = 75,841.20 × 29,807.04
  4. Step 4: Simplify right side
    54,957x = 2,260,601,682.05
  5. Step 5: Solve for x
    x = 2,260,601,682.05/54,957
  6. Step 6: Final answer
    x = 41,134.01

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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.