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Finding the Fourth Proportional to 50,071.68, 69,096.96 and 27,715.20

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Solution

The fourth proportional to 50,071.68, 69,096.96 and 27,715.20 is: 38,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.68 : 69,096.96 = 27,715.20 : x
  2. Step 2: Convert to fraction form
    50,071.68/69,096.96 = 27,715.20/x
  3. Step 3: Cross multiply
    50,071.68x = 69,096.96 × 27,715.20
  4. Step 4: Simplify right side
    50,071.68x = 1,915,036,065.79
  5. Step 5: Solve for x
    x = 1,915,036,065.79/50,071.68
  6. Step 6: Final answer
    x = 38,245.89

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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.