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Finding the Fourth Proportional to 32,101.20, 48,143.16 and 11,322

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Solution

The fourth proportional to 32,101.20, 48,143.16 and 11,322 is: 16,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.20 : 48,143.16 = 11,322 : x
  2. Step 2: Convert to fraction form
    32,101.20/48,143.16 = 11,322/x
  3. Step 3: Cross multiply
    32,101.20x = 48,143.16 × 11,322
  4. Step 4: Simplify right side
    32,101.20x = 545,076,857.52
  5. Step 5: Solve for x
    x = 545,076,857.52/32,101.20
  6. Step 6: Final answer
    x = 16,979.95

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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.