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Finding the Fourth Proportional to 76,380.60, 114,524.88 and 34,253.07

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Solution

The fourth proportional to 76,380.60, 114,524.88 and 34,253.07 is: 51,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.60 : 114,524.88 = 34,253.07 : x
  2. Step 2: Convert to fraction form
    76,380.60/114,524.88 = 34,253.07/x
  3. Step 3: Cross multiply
    76,380.60x = 114,524.88 × 34,253.07
  4. Step 4: Simplify right side
    76,380.60x = 3,922,828,731.38
  5. Step 5: Solve for x
    x = 3,922,828,731.38/76,380.60
  6. Step 6: Final answer
    x = 51,358.97

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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.