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Finding the Fourth Proportional to 48,466.75, 72,729.30 and 20,764.75

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Solution

The fourth proportional to 48,466.75, 72,729.30 and 20,764.75 is: 31,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,466.75 : 72,729.30 = 20,764.75 : x
  2. Step 2: Convert to fraction form
    48,466.75/72,729.30 = 20,764.75/x
  3. Step 3: Cross multiply
    48,466.75x = 72,729.30 × 20,764.75
  4. Step 4: Simplify right side
    48,466.75x = 1,510,205,732.18
  5. Step 5: Solve for x
    x = 1,510,205,732.18/48,466.75
  6. Step 6: Final answer
    x = 31,159.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.