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Finding the Fourth Proportional to 39,469.65, 54,468.21 and 21,565

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Solution

The fourth proportional to 39,469.65, 54,468.21 and 21,565 is: 29,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,469.65 : 54,468.21 = 21,565 : x
  2. Step 2: Convert to fraction form
    39,469.65/54,468.21 = 21,565/x
  3. Step 3: Cross multiply
    39,469.65x = 54,468.21 × 21,565
  4. Step 4: Simplify right side
    39,469.65x = 1,174,606,948.65
  5. Step 5: Solve for x
    x = 1,174,606,948.65/39,469.65
  6. Step 6: Final answer
    x = 29,759.75

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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.