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Finding the Fourth Proportional to 29,071.92, 43,611.96 and 9,343.84

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Solution

The fourth proportional to 29,071.92, 43,611.96 and 9,343.84 is: 14,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,071.92 : 43,611.96 = 9,343.84 : x
  2. Step 2: Convert to fraction form
    29,071.92/43,611.96 = 9,343.84/x
  3. Step 3: Cross multiply
    29,071.92x = 43,611.96 × 9,343.84
  4. Step 4: Simplify right side
    29,071.92x = 407,503,176.33
  5. Step 5: Solve for x
    x = 407,503,176.33/29,071.92
  6. Step 6: Final answer
    x = 14,017.07

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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.