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Finding the Fourth Proportional to 32,099.16, 48,115.94 and 11,032.89

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Solution

The fourth proportional to 32,099.16, 48,115.94 and 11,032.89 is: 16,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.16 : 48,115.94 = 11,032.89 : x
  2. Step 2: Convert to fraction form
    32,099.16/48,115.94 = 11,032.89/x
  3. Step 3: Cross multiply
    32,099.16x = 48,115.94 × 11,032.89
  4. Step 4: Simplify right side
    32,099.16x = 530,857,637.67
  5. Step 5: Solve for x
    x = 530,857,637.67/32,099.16
  6. Step 6: Final answer
    x = 16,538.05

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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.