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Finding the Fourth Proportional to 71,492.25, 98,667.81 and 41,284.92

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Solution

The fourth proportional to 71,492.25, 98,667.81 and 41,284.92 is: 56,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492.25 : 98,667.81 = 41,284.92 : x
  2. Step 2: Convert to fraction form
    71,492.25/98,667.81 = 41,284.92/x
  3. Step 3: Cross multiply
    71,492.25x = 98,667.81 × 41,284.92
  4. Step 4: Simplify right side
    71,492.25x = 4,073,492,642.43
  5. Step 5: Solve for x
    x = 4,073,492,642.43/71,492.25
  6. Step 6: Final answer
    x = 56,978.10

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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.