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Finding the Fourth Proportional to 35,758.64, 49,342.92 and 19,843.76

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Solution

The fourth proportional to 35,758.64, 49,342.92 and 19,843.76 is: 27,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.64 : 49,342.92 = 19,843.76 : x
  2. Step 2: Convert to fraction form
    35,758.64/49,342.92 = 19,843.76/x
  3. Step 3: Cross multiply
    35,758.64x = 49,342.92 × 19,843.76
  4. Step 4: Simplify right side
    35,758.64x = 979,149,062.18
  5. Step 5: Solve for x
    x = 979,149,062.18/35,758.64
  6. Step 6: Final answer
    x = 27,382.17

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1.5x scale

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.