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Finding the Fourth Proportional to 47,952.32, 66,174.48 and 27,821.19

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Solution

The fourth proportional to 47,952.32, 66,174.48 and 27,821.19 is: 38,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.32 : 66,174.48 = 27,821.19 : x
  2. Step 2: Convert to fraction form
    47,952.32/66,174.48 = 27,821.19/x
  3. Step 3: Cross multiply
    47,952.32x = 66,174.48 × 27,821.19
  4. Step 4: Simplify right side
    47,952.32x = 1,841,052,781.23
  5. Step 5: Solve for x
    x = 1,841,052,781.23/47,952.32
  6. Step 6: Final answer
    x = 38,393.40

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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.