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Finding the Fourth Proportional to 35,866.64, 49,498.72 and 19,952.28

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Solution

The fourth proportional to 35,866.64, 49,498.72 and 19,952.28 is: 27,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.64 : 49,498.72 = 19,952.28 : x
  2. Step 2: Convert to fraction form
    35,866.64/49,498.72 = 19,952.28/x
  3. Step 3: Cross multiply
    35,866.64x = 49,498.72 × 19,952.28
  4. Step 4: Simplify right side
    35,866.64x = 987,612,321.08
  5. Step 5: Solve for x
    x = 987,612,321.08/35,866.64
  6. Step 6: Final answer
    x = 27,535.68

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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.