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Finding the Fourth Proportional to 38,165.29, 52,694.07 and 23,830.72

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Solution

The fourth proportional to 38,165.29, 52,694.07 and 23,830.72 is: 32,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.29 : 52,694.07 = 23,830.72 : x
  2. Step 2: Convert to fraction form
    38,165.29/52,694.07 = 23,830.72/x
  3. Step 3: Cross multiply
    38,165.29x = 52,694.07 × 23,830.72
  4. Step 4: Simplify right side
    38,165.29x = 1,255,737,364.36
  5. Step 5: Solve for x
    x = 1,255,737,364.36/38,165.29
  6. Step 6: Final answer
    x = 32,902.61

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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.