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Finding the Fourth Proportional to 47,111.34, 65,019.18 and 27,991.27

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Solution

The fourth proportional to 47,111.34, 65,019.18 and 27,991.27 is: 38,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.34 : 65,019.18 = 27,991.27 : x
  2. Step 2: Convert to fraction form
    47,111.34/65,019.18 = 27,991.27/x
  3. Step 3: Cross multiply
    47,111.34x = 65,019.18 × 27,991.27
  4. Step 4: Simplify right side
    47,111.34x = 1,819,969,155.04
  5. Step 5: Solve for x
    x = 1,819,969,155.04/47,111.34
  6. Step 6: Final answer
    x = 38,631.24

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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.