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Finding the Fourth Proportional to 36,564.48, 50,476.52 and 23,142.24

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Solution

The fourth proportional to 36,564.48, 50,476.52 and 23,142.24 is: 31,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564.48 : 50,476.52 = 23,142.24 : x
  2. Step 2: Convert to fraction form
    36,564.48/50,476.52 = 23,142.24/x
  3. Step 3: Cross multiply
    36,564.48x = 50,476.52 × 23,142.24
  4. Step 4: Simplify right side
    36,564.48x = 1,168,139,740.20
  5. Step 5: Solve for x
    x = 1,168,139,740.20/36,564.48
  6. Step 6: Final answer
    x = 31,947.39

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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.