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Finding the Fourth Proportional to 32,502.54, 48,758.96 and 12,511.32

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Solution

The fourth proportional to 32,502.54, 48,758.96 and 12,511.32 is: 18,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.54 : 48,758.96 = 12,511.32 : x
  2. Step 2: Convert to fraction form
    32,502.54/48,758.96 = 12,511.32/x
  3. Step 3: Cross multiply
    32,502.54x = 48,758.96 × 12,511.32
  4. Step 4: Simplify right side
    32,502.54x = 610,038,951.43
  5. Step 5: Solve for x
    x = 610,038,951.43/32,502.54
  6. Step 6: Final answer
    x = 18,768.96

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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.