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Finding the Fourth Proportional to 32,277.52, 48,426 and 10,093.24

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Solution

The fourth proportional to 32,277.52, 48,426 and 10,093.24 is: 15,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277.52 : 48,426 = 10,093.24 : x
  2. Step 2: Convert to fraction form
    32,277.52/48,426 = 10,093.24/x
  3. Step 3: Cross multiply
    32,277.52x = 48,426 × 10,093.24
  4. Step 4: Simplify right side
    32,277.52x = 488,775,240.24
  5. Step 5: Solve for x
    x = 488,775,240.24/32,277.52
  6. Step 6: Final answer
    x = 15,142.90

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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.