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Finding the Fourth Proportional to 52,408.16, 72,371.31 and 33,294.08

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Solution

The fourth proportional to 52,408.16, 72,371.31 and 33,294.08 is: 45,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.16 : 72,371.31 = 33,294.08 : x
  2. Step 2: Convert to fraction form
    52,408.16/72,371.31 = 33,294.08/x
  3. Step 3: Cross multiply
    52,408.16x = 72,371.31 × 33,294.08
  4. Step 4: Simplify right side
    52,408.16x = 2,409,536,184.84
  5. Step 5: Solve for x
    x = 2,409,536,184.84/52,408.16
  6. Step 6: Final answer
    x = 45,976.36

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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.