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Finding the Fourth Proportional to 32,116.57, 48,181.94 and 9,626.35

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Solution

The fourth proportional to 32,116.57, 48,181.94 and 9,626.35 is: 14,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.57 : 48,181.94 = 9,626.35 : x
  2. Step 2: Convert to fraction form
    32,116.57/48,181.94 = 9,626.35/x
  3. Step 3: Cross multiply
    32,116.57x = 48,181.94 × 9,626.35
  4. Step 4: Simplify right side
    32,116.57x = 463,816,218.12
  5. Step 5: Solve for x
    x = 463,816,218.12/32,116.57
  6. Step 6: Final answer
    x = 14,441.65

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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.