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Finding the Fourth Proportional to 75,760.70, 113,653.80 and 23,157.88

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Solution

The fourth proportional to 75,760.70, 113,653.80 and 23,157.88 is: 34,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760.70 : 113,653.80 = 23,157.88 : x
  2. Step 2: Convert to fraction form
    75,760.70/113,653.80 = 23,157.88/x
  3. Step 3: Cross multiply
    75,760.70x = 113,653.80 × 23,157.88
  4. Step 4: Simplify right side
    75,760.70x = 2,631,981,061.94
  5. Step 5: Solve for x
    x = 2,631,981,061.94/75,760.70
  6. Step 6: Final answer
    x = 34,740.72

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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.