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Finding the Fourth Proportional to 35,780.98, 49,377.96 and 19,648.98

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Solution

The fourth proportional to 35,780.98, 49,377.96 and 19,648.98 is: 27,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.98 : 49,377.96 = 19,648.98 : x
  2. Step 2: Convert to fraction form
    35,780.98/49,377.96 = 19,648.98/x
  3. Step 3: Cross multiply
    35,780.98x = 49,377.96 × 19,648.98
  4. Step 4: Simplify right side
    35,780.98x = 970,226,548.48
  5. Step 5: Solve for x
    x = 970,226,548.48/35,780.98
  6. Step 6: Final answer
    x = 27,115.71

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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.