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Finding the Fourth Proportional to 35,378.38, 48,821.36 and 19,462.48

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Solution

The fourth proportional to 35,378.38, 48,821.36 and 19,462.48 is: 26,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.38 : 48,821.36 = 19,462.48 : x
  2. Step 2: Convert to fraction form
    35,378.38/48,821.36 = 19,462.48/x
  3. Step 3: Cross multiply
    35,378.38x = 48,821.36 × 19,462.48
  4. Step 4: Simplify right side
    35,378.38x = 950,184,742.57
  5. Step 5: Solve for x
    x = 950,184,742.57/35,378.38
  6. Step 6: Final answer
    x = 26,857.78

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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.