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Finding the Fourth Proportional to 39,687.72, 54,760.50 and 22,911

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Solution

The fourth proportional to 39,687.72, 54,760.50 and 22,911 is: 31,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687.72 : 54,760.50 = 22,911 : x
  2. Step 2: Convert to fraction form
    39,687.72/54,760.50 = 22,911/x
  3. Step 3: Cross multiply
    39,687.72x = 54,760.50 × 22,911
  4. Step 4: Simplify right side
    39,687.72x = 1,254,617,815.50
  5. Step 5: Solve for x
    x = 1,254,617,815.50/39,687.72
  6. Step 6: Final answer
    x = 31,612.24

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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.