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Finding the Fourth Proportional to 56,718.56, 78,274.68 and 31,568.60

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Solution

The fourth proportional to 56,718.56, 78,274.68 and 31,568.60 is: 43,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718.56 : 78,274.68 = 31,568.60 : x
  2. Step 2: Convert to fraction form
    56,718.56/78,274.68 = 31,568.60/x
  3. Step 3: Cross multiply
    56,718.56x = 78,274.68 × 31,568.60
  4. Step 4: Simplify right side
    56,718.56x = 2,471,022,063.05
  5. Step 5: Solve for x
    x = 2,471,022,063.05/56,718.56
  6. Step 6: Final answer
    x = 43,566.38

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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.