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Finding the Fourth Proportional to 32,891.86, 49,332.90 and 12,110.50

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Solution

The fourth proportional to 32,891.86, 49,332.90 and 12,110.50 is: 18,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.86 : 49,332.90 = 12,110.50 : x
  2. Step 2: Convert to fraction form
    32,891.86/49,332.90 = 12,110.50/x
  3. Step 3: Cross multiply
    32,891.86x = 49,332.90 × 12,110.50
  4. Step 4: Simplify right side
    32,891.86x = 597,446,085.45
  5. Step 5: Solve for x
    x = 597,446,085.45/32,891.86
  6. Step 6: Final answer
    x = 18,163.95

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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.