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Finding the Fourth Proportional to 32,873.14, 49,309.40 and 14,166.39

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Solution

The fourth proportional to 32,873.14, 49,309.40 and 14,166.39 is: 21,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.14 : 49,309.40 = 14,166.39 : x
  2. Step 2: Convert to fraction form
    32,873.14/49,309.40 = 14,166.39/x
  3. Step 3: Cross multiply
    32,873.14x = 49,309.40 × 14,166.39
  4. Step 4: Simplify right side
    32,873.14x = 698,536,191.07
  5. Step 5: Solve for x
    x = 698,536,191.07/32,873.14
  6. Step 6: Final answer
    x = 21,249.45

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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.