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Finding the Fourth Proportional to 32,094.12, 48,158.46 and 16,542.12

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Solution

The fourth proportional to 32,094.12, 48,158.46 and 16,542.12 is: 24,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.12 : 48,158.46 = 16,542.12 : x
  2. Step 2: Convert to fraction form
    32,094.12/48,158.46 = 16,542.12/x
  3. Step 3: Cross multiply
    32,094.12x = 48,158.46 × 16,542.12
  4. Step 4: Simplify right side
    32,094.12x = 796,643,024.34
  5. Step 5: Solve for x
    x = 796,643,024.34/32,094.12
  6. Step 6: Final answer
    x = 24,822.09

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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.