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Finding the Fourth Proportional to 73,471.38, 101,296.64 and 47,584.19

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Solution

The fourth proportional to 73,471.38, 101,296.64 and 47,584.19 is: 65,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,471.38 : 101,296.64 = 47,584.19 : x
  2. Step 2: Convert to fraction form
    73,471.38/101,296.64 = 47,584.19/x
  3. Step 3: Cross multiply
    73,471.38x = 101,296.64 × 47,584.19
  4. Step 4: Simplify right side
    73,471.38x = 4,820,119,025.54
  5. Step 5: Solve for x
    x = 4,820,119,025.54/73,471.38
  6. Step 6: Final answer
    x = 65,605.39

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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.