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Finding the Fourth Proportional to 54,892.57, 75,751.77 and 29,742.07

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Solution

The fourth proportional to 54,892.57, 75,751.77 and 29,742.07 is: 41,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892.57 : 75,751.77 = 29,742.07 : x
  2. Step 2: Convert to fraction form
    54,892.57/75,751.77 = 29,742.07/x
  3. Step 3: Cross multiply
    54,892.57x = 75,751.77 × 29,742.07
  4. Step 4: Simplify right side
    54,892.57x = 2,253,014,445.96
  5. Step 5: Solve for x
    x = 2,253,014,445.96/54,892.57
  6. Step 6: Final answer
    x = 41,044.07

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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.