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Finding the Fourth Proportional to 32,137.97, 48,177.44 and 11,073

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Solution

The fourth proportional to 32,137.97, 48,177.44 and 11,073 is: 16,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.97 : 48,177.44 = 11,073 : x
  2. Step 2: Convert to fraction form
    32,137.97/48,177.44 = 11,073/x
  3. Step 3: Cross multiply
    32,137.97x = 48,177.44 × 11,073
  4. Step 4: Simplify right side
    32,137.97x = 533,468,737.76
  5. Step 5: Solve for x
    x = 533,468,737.76/32,137.97
  6. Step 6: Final answer
    x = 16,599.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.