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Finding the Fourth Proportional to 52,420.72, 72,364.44 and 34,516.48

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Solution

The fourth proportional to 52,420.72, 72,364.44 and 34,516.48 is: 47,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420.72 : 72,364.44 = 34,516.48 : x
  2. Step 2: Convert to fraction form
    52,420.72/72,364.44 = 34,516.48/x
  3. Step 3: Cross multiply
    52,420.72x = 72,364.44 × 34,516.48
  4. Step 4: Simplify right side
    52,420.72x = 2,497,765,745.97
  5. Step 5: Solve for x
    x = 2,497,765,745.97/52,420.72
  6. Step 6: Final answer
    x = 47,648.44

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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.