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Finding the Fourth Proportional to 73,564.59, 101,516.14 and 41,732.81

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Solution

The fourth proportional to 73,564.59, 101,516.14 and 41,732.81 is: 57,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.59 : 101,516.14 = 41,732.81 : x
  2. Step 2: Convert to fraction form
    73,564.59/101,516.14 = 41,732.81/x
  3. Step 3: Cross multiply
    73,564.59x = 101,516.14 × 41,732.81
  4. Step 4: Simplify right side
    73,564.59x = 4,236,553,782.55
  5. Step 5: Solve for x
    x = 4,236,553,782.55/73,564.59
  6. Step 6: Final answer
    x = 57,589.58

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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.