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Finding the Fourth Proportional to 54,993.12, 75,890.16 and 29,842.08

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Solution

The fourth proportional to 54,993.12, 75,890.16 and 29,842.08 is: 41,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993.12 : 75,890.16 = 29,842.08 : x
  2. Step 2: Convert to fraction form
    54,993.12/75,890.16 = 29,842.08/x
  3. Step 3: Cross multiply
    54,993.12x = 75,890.16 × 29,842.08
  4. Step 4: Simplify right side
    54,993.12x = 2,264,720,225.93
  5. Step 5: Solve for x
    x = 2,264,720,225.93/54,993.12
  6. Step 6: Final answer
    x = 41,181.88

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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.