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Finding the Fourth Proportional to 71,667.56, 99,002.36 and 57,422

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Solution

The fourth proportional to 71,667.56, 99,002.36 and 57,422 is: 79,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,667.56 : 99,002.36 = 57,422 : x
  2. Step 2: Convert to fraction form
    71,667.56/99,002.36 = 57,422/x
  3. Step 3: Cross multiply
    71,667.56x = 99,002.36 × 57,422
  4. Step 4: Simplify right side
    71,667.56x = 5,684,913,515.92
  5. Step 5: Solve for x
    x = 5,684,913,515.92/71,667.56
  6. Step 6: Final answer
    x = 79,323.39

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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.