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Finding the Fourth Proportional to 56,322, 77,724.36 and 31,173.12

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Solution

The fourth proportional to 56,322, 77,724.36 and 31,173.12 is: 43,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322 : 77,724.36 = 31,173.12 : x
  2. Step 2: Convert to fraction form
    56,322/77,724.36 = 31,173.12/x
  3. Step 3: Cross multiply
    56,322x = 77,724.36 × 31,173.12
  4. Step 4: Simplify right side
    56,322x = 2,422,910,801.20
  5. Step 5: Solve for x
    x = 2,422,910,801.20/56,322
  6. Step 6: Final answer
    x = 43,018.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.