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Finding the Fourth Proportional to 38,382.96, 52,954.42 and 23,264.71

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Solution

The fourth proportional to 38,382.96, 52,954.42 and 23,264.71 is: 32,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.96 : 52,954.42 = 23,264.71 : x
  2. Step 2: Convert to fraction form
    38,382.96/52,954.42 = 23,264.71/x
  3. Step 3: Cross multiply
    38,382.96x = 52,954.42 × 23,264.71
  4. Step 4: Simplify right side
    38,382.96x = 1,231,969,224.52
  5. Step 5: Solve for x
    x = 1,231,969,224.52/38,382.96
  6. Step 6: Final answer
    x = 32,096.77

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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.