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Finding the Fourth Proportional to 38,957.99, 53,766.17 and 22,838.86

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Solution

The fourth proportional to 38,957.99, 53,766.17 and 22,838.86 is: 31,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,957.99 : 53,766.17 = 22,838.86 : x
  2. Step 2: Convert to fraction form
    38,957.99/53,766.17 = 22,838.86/x
  3. Step 3: Cross multiply
    38,957.99x = 53,766.17 × 22,838.86
  4. Step 4: Simplify right side
    38,957.99x = 1,227,958,029.37
  5. Step 5: Solve for x
    x = 1,227,958,029.37/38,957.99
  6. Step 6: Final answer
    x = 31,520.06

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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.