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Finding the Fourth Proportional to 54,992.64, 75,890.16 and 29,842.32

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Solution

The fourth proportional to 54,992.64, 75,890.16 and 29,842.32 is: 41,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.64 : 75,890.16 = 29,842.32 : x
  2. Step 2: Convert to fraction form
    54,992.64/75,890.16 = 29,842.32/x
  3. Step 3: Cross multiply
    54,992.64x = 75,890.16 × 29,842.32
  4. Step 4: Simplify right side
    54,992.64x = 2,264,738,439.57
  5. Step 5: Solve for x
    x = 2,264,738,439.57/54,992.64
  6. Step 6: Final answer
    x = 41,182.57

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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.