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Finding the Fourth Proportional to 29,914.42, 44,871.81 and 9,137.92

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Solution

The fourth proportional to 29,914.42, 44,871.81 and 9,137.92 is: 13,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914.42 : 44,871.81 = 9,137.92 : x
  2. Step 2: Convert to fraction form
    29,914.42/44,871.81 = 9,137.92/x
  3. Step 3: Cross multiply
    29,914.42x = 44,871.81 × 9,137.92
  4. Step 4: Simplify right side
    29,914.42x = 410,035,010.04
  5. Step 5: Solve for x
    x = 410,035,010.04/29,914.42
  6. Step 6: Final answer
    x = 13,706.93

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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.