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Finding the Fourth Proportional to 65,097.79, 89,844.53 and 41,226.68

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Solution

The fourth proportional to 65,097.79, 89,844.53 and 41,226.68 is: 56,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.79 : 89,844.53 = 41,226.68 : x
  2. Step 2: Convert to fraction form
    65,097.79/89,844.53 = 41,226.68/x
  3. Step 3: Cross multiply
    65,097.79x = 89,844.53 × 41,226.68
  4. Step 4: Simplify right side
    65,097.79x = 3,703,991,706.54
  5. Step 5: Solve for x
    x = 3,703,991,706.54/65,097.79
  6. Step 6: Final answer
    x = 56,898.89

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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.