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Finding the Fourth Proportional to 71,548.17, 98,741.07 and 41,334.78

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Solution

The fourth proportional to 71,548.17, 98,741.07 and 41,334.78 is: 57,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,548.17 : 98,741.07 = 41,334.78 : x
  2. Step 2: Convert to fraction form
    71,548.17/98,741.07 = 41,334.78/x
  3. Step 3: Cross multiply
    71,548.17x = 98,741.07 × 41,334.78
  4. Step 4: Simplify right side
    71,548.17x = 4,081,440,405.41
  5. Step 5: Solve for x
    x = 4,081,440,405.41/71,548.17
  6. Step 6: Final answer
    x = 57,044.65

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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.