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Finding the Fourth Proportional to 32,873.86, 49,305.93 and 12,092.50

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Solution

The fourth proportional to 32,873.86, 49,305.93 and 12,092.50 is: 18,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.86 : 49,305.93 = 12,092.50 : x
  2. Step 2: Convert to fraction form
    32,873.86/49,305.93 = 12,092.50/x
  3. Step 3: Cross multiply
    32,873.86x = 49,305.93 × 12,092.50
  4. Step 4: Simplify right side
    32,873.86x = 596,231,958.53
  5. Step 5: Solve for x
    x = 596,231,958.53/32,873.86
  6. Step 6: Final answer
    x = 18,136.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.