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Finding the Fourth Proportional to 38,806.50, 53,553.04 and 22,039.50

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Solution

The fourth proportional to 38,806.50, 53,553.04 and 22,039.50 is: 30,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,806.50 : 53,553.04 = 22,039.50 : x
  2. Step 2: Convert to fraction form
    38,806.50/53,553.04 = 22,039.50/x
  3. Step 3: Cross multiply
    38,806.50x = 53,553.04 × 22,039.50
  4. Step 4: Simplify right side
    38,806.50x = 1,180,282,225.08
  5. Step 5: Solve for x
    x = 1,180,282,225.08/38,806.50
  6. Step 6: Final answer
    x = 30,414.55

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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.