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Finding the Fourth Proportional to 52,361.82, 72,302.91 and 48,562.86

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Solution

The fourth proportional to 52,361.82, 72,302.91 and 48,562.86 is: 67,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,361.82 : 72,302.91 = 48,562.86 : x
  2. Step 2: Convert to fraction form
    52,361.82/72,302.91 = 48,562.86/x
  3. Step 3: Cross multiply
    52,361.82x = 72,302.91 × 48,562.86
  4. Step 4: Simplify right side
    52,361.82x = 3,511,236,095.92
  5. Step 5: Solve for x
    x = 3,511,236,095.92/52,361.82
  6. Step 6: Final answer
    x = 67,057.18

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Why These Related Problems?

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