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Finding the Fourth Proportional to 71,597.66, 98,819.49 and 41,378.66

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Solution

The fourth proportional to 71,597.66, 98,819.49 and 41,378.66 is: 57,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.66 : 98,819.49 = 41,378.66 : x
  2. Step 2: Convert to fraction form
    71,597.66/98,819.49 = 41,378.66/x
  3. Step 3: Cross multiply
    71,597.66x = 98,819.49 × 41,378.66
  4. Step 4: Simplify right side
    71,597.66x = 4,089,018,078.08
  5. Step 5: Solve for x
    x = 4,089,018,078.08/71,597.66
  6. Step 6: Final answer
    x = 57,111.06

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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.