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Finding the Fourth Proportional to 43,475.44, 65,174.04 and 15,754

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Solution

The fourth proportional to 43,475.44, 65,174.04 and 15,754 is: 23,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,475.44 : 65,174.04 = 15,754 : x
  2. Step 2: Convert to fraction form
    43,475.44/65,174.04 = 15,754/x
  3. Step 3: Cross multiply
    43,475.44x = 65,174.04 × 15,754
  4. Step 4: Simplify right side
    43,475.44x = 1,026,751,826.16
  5. Step 5: Solve for x
    x = 1,026,751,826.16/43,475.44
  6. Step 6: Final answer
    x = 23,616.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.