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Finding the Fourth Proportional to 32,751.84, 49,086.64 and 14,009.83

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Solution

The fourth proportional to 32,751.84, 49,086.64 and 14,009.83 is: 20,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.84 : 49,086.64 = 14,009.83 : x
  2. Step 2: Convert to fraction form
    32,751.84/49,086.64 = 14,009.83/x
  3. Step 3: Cross multiply
    32,751.84x = 49,086.64 × 14,009.83
  4. Step 4: Simplify right side
    32,751.84x = 687,695,481.67
  5. Step 5: Solve for x
    x = 687,695,481.67/32,751.84
  6. Step 6: Final answer
    x = 20,997.16

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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.