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Finding the Fourth Proportional to 35,758.28, 49,348.74 and 19,842.74

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Solution

The fourth proportional to 35,758.28, 49,348.74 and 19,842.74 is: 27,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.28 : 49,348.74 = 19,842.74 : x
  2. Step 2: Convert to fraction form
    35,758.28/49,348.74 = 19,842.74/x
  3. Step 3: Cross multiply
    35,758.28x = 49,348.74 × 19,842.74
  4. Step 4: Simplify right side
    35,758.28x = 979,214,229.87
  5. Step 5: Solve for x
    x = 979,214,229.87/35,758.28
  6. Step 6: Final answer
    x = 27,384.27

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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.