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Finding the Fourth Proportional to 39,229.14, 54,133.95 and 21,324

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Solution

The fourth proportional to 39,229.14, 54,133.95 and 21,324 is: 29,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,229.14 : 54,133.95 = 21,324 : x
  2. Step 2: Convert to fraction form
    39,229.14/54,133.95 = 21,324/x
  3. Step 3: Cross multiply
    39,229.14x = 54,133.95 × 21,324
  4. Step 4: Simplify right side
    39,229.14x = 1,154,352,349.80
  5. Step 5: Solve for x
    x = 1,154,352,349.80/39,229.14
  6. Step 6: Final answer
    x = 29,425.89

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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.