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Finding the Fourth Proportional to 38,349.68, 52,914.38 and 22,431.02

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Solution

The fourth proportional to 38,349.68, 52,914.38 and 22,431.02 is: 30,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349.68 : 52,914.38 = 22,431.02 : x
  2. Step 2: Convert to fraction form
    38,349.68/52,914.38 = 22,431.02/x
  3. Step 3: Cross multiply
    38,349.68x = 52,914.38 × 22,431.02
  4. Step 4: Simplify right side
    38,349.68x = 1,186,923,516.07
  5. Step 5: Solve for x
    x = 1,186,923,516.07/38,349.68
  6. Step 6: Final answer
    x = 30,950.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.