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Finding the Fourth Proportional to 38,102.32, 52,568.04 and 23,956.24

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Solution

The fourth proportional to 38,102.32, 52,568.04 and 23,956.24 is: 33,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.32 : 52,568.04 = 23,956.24 : x
  2. Step 2: Convert to fraction form
    38,102.32/52,568.04 = 23,956.24/x
  3. Step 3: Cross multiply
    38,102.32x = 52,568.04 × 23,956.24
  4. Step 4: Simplify right side
    38,102.32x = 1,259,332,582.57
  5. Step 5: Solve for x
    x = 1,259,332,582.57/38,102.32
  6. Step 6: Final answer
    x = 33,051.34

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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.