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Finding the Fourth Proportional to 38,284.92, 52,837.92 and 23,178.15

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Solution

The fourth proportional to 38,284.92, 52,837.92 and 23,178.15 is: 31,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.92 : 52,837.92 = 23,178.15 : x
  2. Step 2: Convert to fraction form
    38,284.92/52,837.92 = 23,178.15/x
  3. Step 3: Cross multiply
    38,284.92x = 52,837.92 × 23,178.15
  4. Step 4: Simplify right side
    38,284.92x = 1,224,685,235.45
  5. Step 5: Solve for x
    x = 1,224,685,235.45/38,284.92
  6. Step 6: Final answer
    x = 31,988.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.