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Finding the Fourth Proportional to 56,067, 77,364.90 and 32,189.28

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Solution

The fourth proportional to 56,067, 77,364.90 and 32,189.28 is: 44,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,067 : 77,364.90 = 32,189.28 : x
  2. Step 2: Convert to fraction form
    56,067/77,364.90 = 32,189.28/x
  3. Step 3: Cross multiply
    56,067x = 77,364.90 × 32,189.28
  4. Step 4: Simplify right side
    56,067x = 2,490,320,428.27
  5. Step 5: Solve for x
    x = 2,490,320,428.27/56,067
  6. Step 6: Final answer
    x = 44,416.87

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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.