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Finding the Fourth Proportional to 38,614.73, 53,292.81 and 23,516.24

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Solution

The fourth proportional to 38,614.73, 53,292.81 and 23,516.24 is: 32,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.73 : 53,292.81 = 23,516.24 : x
  2. Step 2: Convert to fraction form
    38,614.73/53,292.81 = 23,516.24/x
  3. Step 3: Cross multiply
    38,614.73x = 53,292.81 × 23,516.24
  4. Step 4: Simplify right side
    38,614.73x = 1,253,246,243.77
  5. Step 5: Solve for x
    x = 1,253,246,243.77/38,614.73
  6. Step 6: Final answer
    x = 32,455.14

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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.