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Finding the Fourth Proportional to 39,285, 54,213.30 and 22,518

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Solution

The fourth proportional to 39,285, 54,213.30 and 22,518 is: 31,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,285 : 54,213.30 = 22,518 : x
  2. Step 2: Convert to fraction form
    39,285/54,213.30 = 22,518/x
  3. Step 3: Cross multiply
    39,285x = 54,213.30 × 22,518
  4. Step 4: Simplify right side
    39,285x = 1,220,775,089.40
  5. Step 5: Solve for x
    x = 1,220,775,089.40/39,285
  6. Step 6: Final answer
    x = 31,074.84

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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.