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Finding the Fourth Proportional to 65,021.76, 89,768.70 and 41,168.88

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Solution

The fourth proportional to 65,021.76, 89,768.70 and 41,168.88 is: 56,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021.76 : 89,768.70 = 41,168.88 : x
  2. Step 2: Convert to fraction form
    65,021.76/89,768.70 = 41,168.88/x
  3. Step 3: Cross multiply
    65,021.76x = 89,768.70 × 41,168.88
  4. Step 4: Simplify right side
    65,021.76x = 3,695,676,838.06
  5. Step 5: Solve for x
    x = 3,695,676,838.06/65,021.76
  6. Step 6: Final answer
    x = 56,837.54

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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.