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Finding the Fourth Proportional to 65,096.66, 89,842.97 and 41,225.56

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Solution

The fourth proportional to 65,096.66, 89,842.97 and 41,225.56 is: 56,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.66 : 89,842.97 = 41,225.56 : x
  2. Step 2: Convert to fraction form
    65,096.66/89,842.97 = 41,225.56/x
  3. Step 3: Cross multiply
    65,096.66x = 89,842.97 × 41,225.56
  4. Step 4: Simplify right side
    65,096.66x = 3,703,826,628.77
  5. Step 5: Solve for x
    x = 3,703,826,628.77/65,096.66
  6. Step 6: Final answer
    x = 56,897.34

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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.