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Finding the Fourth Proportional to 32,508.60, 48,768.30 and 12,787.80

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Solution

The fourth proportional to 32,508.60, 48,768.30 and 12,787.80 is: 19,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.60 : 48,768.30 = 12,787.80 : x
  2. Step 2: Convert to fraction form
    32,508.60/48,768.30 = 12,787.80/x
  3. Step 3: Cross multiply
    32,508.60x = 48,768.30 × 12,787.80
  4. Step 4: Simplify right side
    32,508.60x = 623,639,266.74
  5. Step 5: Solve for x
    x = 623,639,266.74/32,508.60
  6. Step 6: Final answer
    x = 19,183.82

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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.