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Finding the Fourth Proportional to 56,806.98, 78,393.94 and 32,947.80

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Solution

The fourth proportional to 56,806.98, 78,393.94 and 32,947.80 is: 45,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,806.98 : 78,393.94 = 32,947.80 : x
  2. Step 2: Convert to fraction form
    56,806.98/78,393.94 = 32,947.80/x
  3. Step 3: Cross multiply
    56,806.98x = 78,393.94 × 32,947.80
  4. Step 4: Simplify right side
    56,806.98x = 2,582,907,856.33
  5. Step 5: Solve for x
    x = 2,582,907,856.33/56,806.98
  6. Step 6: Final answer
    x = 45,468.14

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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.