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Finding the Fourth Proportional to 71,147.76, 98,190.36 and 41,334

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Solution

The fourth proportional to 71,147.76, 98,190.36 and 41,334 is: 57,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.76 : 98,190.36 = 41,334 : x
  2. Step 2: Convert to fraction form
    71,147.76/98,190.36 = 41,334/x
  3. Step 3: Cross multiply
    71,147.76x = 98,190.36 × 41,334
  4. Step 4: Simplify right side
    71,147.76x = 4,058,600,340.24
  5. Step 5: Solve for x
    x = 4,058,600,340.24/71,147.76
  6. Step 6: Final answer
    x = 57,044.67

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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.