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Finding the Fourth Proportional to 38,291.92, 52,834.74 and 23,181.64

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Solution

The fourth proportional to 38,291.92, 52,834.74 and 23,181.64 is: 31,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291.92 : 52,834.74 = 23,181.64 : x
  2. Step 2: Convert to fraction form
    38,291.92/52,834.74 = 23,181.64/x
  3. Step 3: Cross multiply
    38,291.92x = 52,834.74 × 23,181.64
  4. Step 4: Simplify right side
    38,291.92x = 1,224,795,922.17
  5. Step 5: Solve for x
    x = 1,224,795,922.17/38,291.92
  6. Step 6: Final answer
    x = 31,985.75

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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.