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Finding the Fourth Proportional to 71,284.50, 98,398.53 and 41,476.50

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Solution

The fourth proportional to 71,284.50, 98,398.53 and 41,476.50 is: 57,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284.50 : 98,398.53 = 41,476.50 : x
  2. Step 2: Convert to fraction form
    71,284.50/98,398.53 = 41,476.50/x
  3. Step 3: Cross multiply
    71,284.50x = 98,398.53 × 41,476.50
  4. Step 4: Simplify right side
    71,284.50x = 4,081,226,629.55
  5. Step 5: Solve for x
    x = 4,081,226,629.55/71,284.50
  6. Step 6: Final answer
    x = 57,252.65

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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.