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Finding the Fourth Proportional to 32,794.80, 49,186.92 and 9,415.92

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Solution

The fourth proportional to 32,794.80, 49,186.92 and 9,415.92 is: 14,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.80 : 49,186.92 = 9,415.92 : x
  2. Step 2: Convert to fraction form
    32,794.80/49,186.92 = 9,415.92/x
  3. Step 3: Cross multiply
    32,794.80x = 49,186.92 × 9,415.92
  4. Step 4: Simplify right side
    32,794.80x = 463,140,103.77
  5. Step 5: Solve for x
    x = 463,140,103.77/32,794.80
  6. Step 6: Final answer
    x = 14,122.36

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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.