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Finding the Fourth Proportional to 32,888.14, 49,351.66 and 12,126.22

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Solution

The fourth proportional to 32,888.14, 49,351.66 and 12,126.22 is: 18,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888.14 : 49,351.66 = 12,126.22 : x
  2. Step 2: Convert to fraction form
    32,888.14/49,351.66 = 12,126.22/x
  3. Step 3: Cross multiply
    32,888.14x = 49,351.66 × 12,126.22
  4. Step 4: Simplify right side
    32,888.14x = 598,449,086.53
  5. Step 5: Solve for x
    x = 598,449,086.53/32,888.14
  6. Step 6: Final answer
    x = 18,196.50

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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.