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Finding the Fourth Proportional to 39,314.88, 58,991.20 and 24,520

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Solution

The fourth proportional to 39,314.88, 58,991.20 and 24,520 is: 36,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,314.88 : 58,991.20 = 24,520 : x
  2. Step 2: Convert to fraction form
    39,314.88/58,991.20 = 24,520/x
  3. Step 3: Cross multiply
    39,314.88x = 58,991.20 × 24,520
  4. Step 4: Simplify right side
    39,314.88x = 1,446,464,224
  5. Step 5: Solve for x
    x = 1,446,464,224/39,314.88
  6. Step 6: Final answer
    x = 36,791.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.