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Finding the Fourth Proportional to 32,108.70, 48,166.65 and 9,921.90

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Solution

The fourth proportional to 32,108.70, 48,166.65 and 9,921.90 is: 14,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.70 : 48,166.65 = 9,921.90 : x
  2. Step 2: Convert to fraction form
    32,108.70/48,166.65 = 9,921.90/x
  3. Step 3: Cross multiply
    32,108.70x = 48,166.65 × 9,921.90
  4. Step 4: Simplify right side
    32,108.70x = 477,904,684.64
  5. Step 5: Solve for x
    x = 477,904,684.64/32,108.70
  6. Step 6: Final answer
    x = 14,883.96

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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.