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Finding the Fourth Proportional to 41,459.63, 57,174.32 and 27,878.27

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Solution

The fourth proportional to 41,459.63, 57,174.32 and 27,878.27 is: 38,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459.63 : 57,174.32 = 27,878.27 : x
  2. Step 2: Convert to fraction form
    41,459.63/57,174.32 = 27,878.27/x
  3. Step 3: Cross multiply
    41,459.63x = 57,174.32 × 27,878.27
  4. Step 4: Simplify right side
    41,459.63x = 1,593,920,844.15
  5. Step 5: Solve for x
    x = 1,593,920,844.15/41,459.63
  6. Step 6: Final answer
    x = 38,445.13

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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.