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Finding the Fourth Proportional to 73,827.38, 101,889.44 and 45,166.14

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Solution

The fourth proportional to 73,827.38, 101,889.44 and 45,166.14 is: 62,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,827.38 : 101,889.44 = 45,166.14 : x
  2. Step 2: Convert to fraction form
    73,827.38/101,889.44 = 45,166.14/x
  3. Step 3: Cross multiply
    73,827.38x = 101,889.44 × 45,166.14
  4. Step 4: Simplify right side
    73,827.38x = 4,601,952,655.10
  5. Step 5: Solve for x
    x = 4,601,952,655.10/73,827.38
  6. Step 6: Final answer
    x = 62,333.95

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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.