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Finding the Fourth Proportional to 35,879.14, 49,510.74 and 19,964.26

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Solution

The fourth proportional to 35,879.14, 49,510.74 and 19,964.26 is: 27,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,879.14 : 49,510.74 = 19,964.26 : x
  2. Step 2: Convert to fraction form
    35,879.14/49,510.74 = 19,964.26/x
  3. Step 3: Cross multiply
    35,879.14x = 49,510.74 × 19,964.26
  4. Step 4: Simplify right side
    35,879.14x = 988,445,286.15
  5. Step 5: Solve for x
    x = 988,445,286.15/35,879.14
  6. Step 6: Final answer
    x = 27,549.30

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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.