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Finding the Fourth Proportional to 35,542.38, 49,048.50 and 19,627.91

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Solution

The fourth proportional to 35,542.38, 49,048.50 and 19,627.91 is: 27,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.38 : 49,048.50 = 19,627.91 : x
  2. Step 2: Convert to fraction form
    35,542.38/49,048.50 = 19,627.91/x
  3. Step 3: Cross multiply
    35,542.38x = 49,048.50 × 19,627.91
  4. Step 4: Simplify right side
    35,542.38x = 962,719,543.64
  5. Step 5: Solve for x
    x = 962,719,543.64/35,542.38
  6. Step 6: Final answer
    x = 27,086.52

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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.