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Finding the Fourth Proportional to 39,829.08, 54,964.13 and 21,924

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Solution

The fourth proportional to 39,829.08, 54,964.13 and 21,924 is: 30,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,829.08 : 54,964.13 = 21,924 : x
  2. Step 2: Convert to fraction form
    39,829.08/54,964.13 = 21,924/x
  3. Step 3: Cross multiply
    39,829.08x = 54,964.13 × 21,924
  4. Step 4: Simplify right side
    39,829.08x = 1,205,033,476.50
  5. Step 5: Solve for x
    x = 1,205,033,476.50/39,829.08
  6. Step 6: Final answer
    x = 30,255.11

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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.