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Finding the Fourth Proportional to 47,142.69, 65,058.01 and 25,633.65

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Solution

The fourth proportional to 47,142.69, 65,058.01 and 25,633.65 is: 35,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.69 : 65,058.01 = 25,633.65 : x
  2. Step 2: Convert to fraction form
    47,142.69/65,058.01 = 25,633.65/x
  3. Step 3: Cross multiply
    47,142.69x = 65,058.01 × 25,633.65
  4. Step 4: Simplify right side
    47,142.69x = 1,667,674,258.04
  5. Step 5: Solve for x
    x = 1,667,674,258.04/47,142.69
  6. Step 6: Final answer
    x = 35,375.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.