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Finding the Fourth Proportional to 35,123.32, 52,648.02 and 24,027

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Solution

The fourth proportional to 35,123.32, 52,648.02 and 24,027 is: 36,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,123.32 : 52,648.02 = 24,027 : x
  2. Step 2: Convert to fraction form
    35,123.32/52,648.02 = 24,027/x
  3. Step 3: Cross multiply
    35,123.32x = 52,648.02 × 24,027
  4. Step 4: Simplify right side
    35,123.32x = 1,264,973,976.54
  5. Step 5: Solve for x
    x = 1,264,973,976.54/35,123.32
  6. Step 6: Final answer
    x = 36,015.22

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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.