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Finding the Fourth Proportional to 47,111.85, 65,019.89 and 27,991.78

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Solution

The fourth proportional to 47,111.85, 65,019.89 and 27,991.78 is: 38,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.85 : 65,019.89 = 27,991.78 : x
  2. Step 2: Convert to fraction form
    47,111.85/65,019.89 = 27,991.78/x
  3. Step 3: Cross multiply
    47,111.85x = 65,019.89 × 27,991.78
  4. Step 4: Simplify right side
    47,111.85x = 1,820,022,154.00
  5. Step 5: Solve for x
    x = 1,820,022,154.00/47,111.85
  6. Step 6: Final answer
    x = 38,631.94

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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.