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Finding the Fourth Proportional to 56,716.64, 78,264.32 and 32,844.88

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Solution

The fourth proportional to 56,716.64, 78,264.32 and 32,844.88 is: 45,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716.64 : 78,264.32 = 32,844.88 : x
  2. Step 2: Convert to fraction form
    56,716.64/78,264.32 = 32,844.88/x
  3. Step 3: Cross multiply
    56,716.64x = 78,264.32 × 32,844.88
  4. Step 4: Simplify right side
    56,716.64x = 2,570,582,198.68
  5. Step 5: Solve for x
    x = 2,570,582,198.68/56,716.64
  6. Step 6: Final answer
    x = 45,323.25

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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.