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Finding the Fourth Proportional to 89,806.48, 123,947.37 and 53,509.57

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Solution

The fourth proportional to 89,806.48, 123,947.37 and 53,509.57 is: 73,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,806.48 : 123,947.37 = 53,509.57 : x
  2. Step 2: Convert to fraction form
    89,806.48/123,947.37 = 53,509.57/x
  3. Step 3: Cross multiply
    89,806.48x = 123,947.37 × 53,509.57
  4. Step 4: Simplify right side
    89,806.48x = 6,632,370,471.33
  5. Step 5: Solve for x
    x = 6,632,370,471.33/89,806.48
  6. Step 6: Final answer
    x = 73,851.80

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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.