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Finding the Fourth Proportional to 35,378.38, 48,822.57 and 20,270.74

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Solution

The fourth proportional to 35,378.38, 48,822.57 and 20,270.74 is: 27,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.38 : 48,822.57 = 20,270.74 : x
  2. Step 2: Convert to fraction form
    35,378.38/48,822.57 = 20,270.74/x
  3. Step 3: Cross multiply
    35,378.38x = 48,822.57 × 20,270.74
  4. Step 4: Simplify right side
    35,378.38x = 989,669,622.60
  5. Step 5: Solve for x
    x = 989,669,622.60/35,378.38
  6. Step 6: Final answer
    x = 27,973.85

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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.