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Finding the Fourth Proportional to 71,497.83, 98,667.45 and 41,284.38

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Solution

The fourth proportional to 71,497.83, 98,667.45 and 41,284.38 is: 56,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,497.83 : 98,667.45 = 41,284.38 : x
  2. Step 2: Convert to fraction form
    71,497.83/98,667.45 = 41,284.38/x
  3. Step 3: Cross multiply
    71,497.83x = 98,667.45 × 41,284.38
  4. Step 4: Simplify right side
    71,497.83x = 4,073,424,499.43
  5. Step 5: Solve for x
    x = 4,073,424,499.43/71,497.83
  6. Step 6: Final answer
    x = 56,972.70

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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.