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Finding the Fourth Proportional to 38,102.26, 52,606.81 and 23,783.90

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Solution

The fourth proportional to 38,102.26, 52,606.81 and 23,783.90 is: 32,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.26 : 52,606.81 = 23,783.90 : x
  2. Step 2: Convert to fraction form
    38,102.26/52,606.81 = 23,783.90/x
  3. Step 3: Cross multiply
    38,102.26x = 52,606.81 × 23,783.90
  4. Step 4: Simplify right side
    38,102.26x = 1,251,195,108.36
  5. Step 5: Solve for x
    x = 1,251,195,108.36/38,102.26
  6. Step 6: Final answer
    x = 32,837.82

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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.