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Finding the Fourth Proportional to 47,687.80, 65,788.62 and 28,814

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Solution

The fourth proportional to 47,687.80, 65,788.62 and 28,814 is: 39,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.80 : 65,788.62 = 28,814 : x
  2. Step 2: Convert to fraction form
    47,687.80/65,788.62 = 28,814/x
  3. Step 3: Cross multiply
    47,687.80x = 65,788.62 × 28,814
  4. Step 4: Simplify right side
    47,687.80x = 1,895,633,296.68
  5. Step 5: Solve for x
    x = 1,895,633,296.68/47,687.80
  6. Step 6: Final answer
    x = 39,750.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.