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Finding the Fourth Proportional to 39,153.80, 54,013.78 and 22,377

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Solution

The fourth proportional to 39,153.80, 54,013.78 and 22,377 is: 30,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,153.80 : 54,013.78 = 22,377 : x
  2. Step 2: Convert to fraction form
    39,153.80/54,013.78 = 22,377/x
  3. Step 3: Cross multiply
    39,153.80x = 54,013.78 × 22,377
  4. Step 4: Simplify right side
    39,153.80x = 1,208,666,355.06
  5. Step 5: Solve for x
    x = 1,208,666,355.06/39,153.80
  6. Step 6: Final answer
    x = 30,869.71

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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.