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Finding the Fourth Proportional to 32,097.22, 48,150.44 and 9,912.50

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Solution

The fourth proportional to 32,097.22, 48,150.44 and 9,912.50 is: 14,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.22 : 48,150.44 = 9,912.50 : x
  2. Step 2: Convert to fraction form
    32,097.22/48,150.44 = 9,912.50/x
  3. Step 3: Cross multiply
    32,097.22x = 48,150.44 × 9,912.50
  4. Step 4: Simplify right side
    32,097.22x = 477,291,236.50
  5. Step 5: Solve for x
    x = 477,291,236.50/32,097.22
  6. Step 6: Final answer
    x = 14,870.17

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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.