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Finding the Fourth Proportional to 54,764.82, 75,576 and 32,117.22

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Solution

The fourth proportional to 54,764.82, 75,576 and 32,117.22 is: 44,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,764.82 : 75,576 = 32,117.22 : x
  2. Step 2: Convert to fraction form
    54,764.82/75,576 = 32,117.22/x
  3. Step 3: Cross multiply
    54,764.82x = 75,576 × 32,117.22
  4. Step 4: Simplify right side
    54,764.82x = 2,427,291,018.72
  5. Step 5: Solve for x
    x = 2,427,291,018.72/54,764.82
  6. Step 6: Final answer
    x = 44,322.09

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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.