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Finding the Fourth Proportional to 36,382.78, 50,165.29 and 24,903.22

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Solution

The fourth proportional to 36,382.78, 50,165.29 and 24,903.22 is: 34,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382.78 : 50,165.29 = 24,903.22 : x
  2. Step 2: Convert to fraction form
    36,382.78/50,165.29 = 24,903.22/x
  3. Step 3: Cross multiply
    36,382.78x = 50,165.29 × 24,903.22
  4. Step 4: Simplify right side
    36,382.78x = 1,249,277,253.23
  5. Step 5: Solve for x
    x = 1,249,277,253.23/36,382.78
  6. Step 6: Final answer
    x = 34,337.05

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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.