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Finding the Fourth Proportional to 39,141, 54,013.82 and 22,144.59

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Solution

The fourth proportional to 39,141, 54,013.82 and 22,144.59 is: 30,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141 : 54,013.82 = 22,144.59 : x
  2. Step 2: Convert to fraction form
    39,141/54,013.82 = 22,144.59/x
  3. Step 3: Cross multiply
    39,141x = 54,013.82 × 22,144.59
  4. Step 4: Simplify right side
    39,141x = 1,196,113,787.51
  5. Step 5: Solve for x
    x = 1,196,113,787.51/39,141
  6. Step 6: Final answer
    x = 30,559.10

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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.