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Finding the Fourth Proportional to 36,256.14, 50,029.65 and 20,342.34

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Solution

The fourth proportional to 36,256.14, 50,029.65 and 20,342.34 is: 28,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,256.14 : 50,029.65 = 20,342.34 : x
  2. Step 2: Convert to fraction form
    36,256.14/50,029.65 = 20,342.34/x
  3. Step 3: Cross multiply
    36,256.14x = 50,029.65 × 20,342.34
  4. Step 4: Simplify right side
    36,256.14x = 1,017,720,150.38
  5. Step 5: Solve for x
    x = 1,017,720,150.38/36,256.14
  6. Step 6: Final answer
    x = 28,070.28

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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.