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Finding the Fourth Proportional to 41,174.64, 56,822.04 and 25,267.86

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Solution

The fourth proportional to 41,174.64, 56,822.04 and 25,267.86 is: 34,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.64 : 56,822.04 = 25,267.86 : x
  2. Step 2: Convert to fraction form
    41,174.64/56,822.04 = 25,267.86/x
  3. Step 3: Cross multiply
    41,174.64x = 56,822.04 × 25,267.86
  4. Step 4: Simplify right side
    41,174.64x = 1,435,771,351.63
  5. Step 5: Solve for x
    x = 1,435,771,351.63/41,174.64
  6. Step 6: Final answer
    x = 34,870.28

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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.