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Finding the Fourth Proportional to 35,668.38, 49,221.70 and 19,752.78

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Solution

The fourth proportional to 35,668.38, 49,221.70 and 19,752.78 is: 27,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668.38 : 49,221.70 = 19,752.78 : x
  2. Step 2: Convert to fraction form
    35,668.38/49,221.70 = 19,752.78/x
  3. Step 3: Cross multiply
    35,668.38x = 49,221.70 × 19,752.78
  4. Step 4: Simplify right side
    35,668.38x = 972,265,411.33
  5. Step 5: Solve for x
    x = 972,265,411.33/35,668.38
  6. Step 6: Final answer
    x = 27,258.47

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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.