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Finding the Fourth Proportional to 39,984, 55,182.78 and 23,217

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Solution

The fourth proportional to 39,984, 55,182.78 and 23,217 is: 32,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 55,182.78 = 23,217 : x
  2. Step 2: Convert to fraction form
    39,984/55,182.78 = 23,217/x
  3. Step 3: Cross multiply
    39,984x = 55,182.78 × 23,217
  4. Step 4: Simplify right side
    39,984x = 1,281,178,603.26
  5. Step 5: Solve for x
    x = 1,281,178,603.26/39,984
  6. Step 6: Final answer
    x = 32,042.28

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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.