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Finding the Fourth Proportional to 38,803.92, 58,211.44 and 13,836.48

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Solution

The fourth proportional to 38,803.92, 58,211.44 and 13,836.48 is: 20,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,803.92 : 58,211.44 = 13,836.48 : x
  2. Step 2: Convert to fraction form
    38,803.92/58,211.44 = 13,836.48/x
  3. Step 3: Cross multiply
    38,803.92x = 58,211.44 × 13,836.48
  4. Step 4: Simplify right side
    38,803.92x = 805,441,425.33
  5. Step 5: Solve for x
    x = 805,441,425.33/38,803.92
  6. Step 6: Final answer
    x = 20,756.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.