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Finding the Fourth Proportional to 35,874.16, 49,507.01 and 19,960.09

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Solution

The fourth proportional to 35,874.16, 49,507.01 and 19,960.09 is: 27,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.16 : 49,507.01 = 19,960.09 : x
  2. Step 2: Convert to fraction form
    35,874.16/49,507.01 = 19,960.09/x
  3. Step 3: Cross multiply
    35,874.16x = 49,507.01 × 19,960.09
  4. Step 4: Simplify right side
    35,874.16x = 988,164,375.23
  5. Step 5: Solve for x
    x = 988,164,375.23/35,874.16
  6. Step 6: Final answer
    x = 27,545.30

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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.