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Finding the Fourth Proportional to 32,300.88, 48,451.32 and 14,766

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Solution

The fourth proportional to 32,300.88, 48,451.32 and 14,766 is: 22,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300.88 : 48,451.32 = 14,766 : x
  2. Step 2: Convert to fraction form
    32,300.88/48,451.32 = 14,766/x
  3. Step 3: Cross multiply
    32,300.88x = 48,451.32 × 14,766
  4. Step 4: Simplify right side
    32,300.88x = 715,432,191.12
  5. Step 5: Solve for x
    x = 715,432,191.12/32,300.88
  6. Step 6: Final answer
    x = 22,149

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