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Finding the Fourth Proportional to 32,089.44, 48,142.08 and 11,029.84

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Solution

The fourth proportional to 32,089.44, 48,142.08 and 11,029.84 is: 16,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.44 : 48,142.08 = 11,029.84 : x
  2. Step 2: Convert to fraction form
    32,089.44/48,142.08 = 11,029.84/x
  3. Step 3: Cross multiply
    32,089.44x = 48,142.08 × 11,029.84
  4. Step 4: Simplify right side
    32,089.44x = 530,999,439.67
  5. Step 5: Solve for x
    x = 530,999,439.67/32,089.44
  6. Step 6: Final answer
    x = 16,547.48

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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.