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Finding the Fourth Proportional to 53,469, 73,806.69 and 31,113

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Solution

The fourth proportional to 53,469, 73,806.69 and 31,113 is: 42,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469 : 73,806.69 = 31,113 : x
  2. Step 2: Convert to fraction form
    53,469/73,806.69 = 31,113/x
  3. Step 3: Cross multiply
    53,469x = 73,806.69 × 31,113
  4. Step 4: Simplify right side
    53,469x = 2,296,347,545.97
  5. Step 5: Solve for x
    x = 2,296,347,545.97/53,469
  6. Step 6: Final answer
    x = 42,947.27

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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.