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Finding the Fourth Proportional to 27,950.39, 38,572.40 and 15,204.50

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Solution

The fourth proportional to 27,950.39, 38,572.40 and 15,204.50 is: 20,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.39 : 38,572.40 = 15,204.50 : x
  2. Step 2: Convert to fraction form
    27,950.39/38,572.40 = 15,204.50/x
  3. Step 3: Cross multiply
    27,950.39x = 38,572.40 × 15,204.50
  4. Step 4: Simplify right side
    27,950.39x = 586,474,055.80
  5. Step 5: Solve for x
    x = 586,474,055.80/27,950.39
  6. Step 6: Final answer
    x = 20,982.68

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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.