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Finding the Fourth Proportional to 32,730.36, 49,097.30 and 10,542.12

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Solution

The fourth proportional to 32,730.36, 49,097.30 and 10,542.12 is: 15,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.36 : 49,097.30 = 10,542.12 : x
  2. Step 2: Convert to fraction form
    32,730.36/49,097.30 = 10,542.12/x
  3. Step 3: Cross multiply
    32,730.36x = 49,097.30 × 10,542.12
  4. Step 4: Simplify right side
    32,730.36x = 517,589,628.28
  5. Step 5: Solve for x
    x = 517,589,628.28/32,730.36
  6. Step 6: Final answer
    x = 15,813.75

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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.