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Finding the Fourth Proportional to 51,758, 71,480.25 and 35,667.14

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Solution

The fourth proportional to 51,758, 71,480.25 and 35,667.14 is: 49,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758 : 71,480.25 = 35,667.14 : x
  2. Step 2: Convert to fraction form
    51,758/71,480.25 = 35,667.14/x
  3. Step 3: Cross multiply
    51,758x = 71,480.25 × 35,667.14
  4. Step 4: Simplify right side
    51,758x = 2,549,496,083.99
  5. Step 5: Solve for x
    x = 2,549,496,083.99/51,758
  6. Step 6: Final answer
    x = 49,258.01

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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.