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Finding the Fourth Proportional to 35,666.38, 49,218.95 and 19,750.78

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Solution

The fourth proportional to 35,666.38, 49,218.95 and 19,750.78 is: 27,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.38 : 49,218.95 = 19,750.78 : x
  2. Step 2: Convert to fraction form
    35,666.38/49,218.95 = 19,750.78/x
  3. Step 3: Cross multiply
    35,666.38x = 49,218.95 × 19,750.78
  4. Step 4: Simplify right side
    35,666.38x = 972,112,653.28
  5. Step 5: Solve for x
    x = 972,112,653.28/35,666.38
  6. Step 6: Final answer
    x = 27,255.71

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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.