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Finding the Fourth Proportional to 39,624, 54,682.74 and 22,857

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Solution

The fourth proportional to 39,624, 54,682.74 and 22,857 is: 31,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,624 : 54,682.74 = 22,857 : x
  2. Step 2: Convert to fraction form
    39,624/54,682.74 = 22,857/x
  3. Step 3: Cross multiply
    39,624x = 54,682.74 × 22,857
  4. Step 4: Simplify right side
    39,624x = 1,249,883,388.18
  5. Step 5: Solve for x
    x = 1,249,883,388.18/39,624
  6. Step 6: Final answer
    x = 31,543.59

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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.