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Finding the Fourth Proportional to 35,780.97, 49,377.95 and 19,648.97

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Solution

The fourth proportional to 35,780.97, 49,377.95 and 19,648.97 is: 27,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.97 : 49,377.95 = 19,648.97 : x
  2. Step 2: Convert to fraction form
    35,780.97/49,377.95 = 19,648.97/x
  3. Step 3: Cross multiply
    35,780.97x = 49,377.95 × 19,648.97
  4. Step 4: Simplify right side
    35,780.97x = 970,225,858.21
  5. Step 5: Solve for x
    x = 970,225,858.21/35,780.97
  6. Step 6: Final answer
    x = 27,115.69

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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.