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Finding the Fourth Proportional to 76,500.72, 114,767.28 and 23,914.17

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Solution

The fourth proportional to 76,500.72, 114,767.28 and 23,914.17 is: 35,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500.72 : 114,767.28 = 23,914.17 : x
  2. Step 2: Convert to fraction form
    76,500.72/114,767.28 = 23,914.17/x
  3. Step 3: Cross multiply
    76,500.72x = 114,767.28 × 23,914.17
  4. Step 4: Simplify right side
    76,500.72x = 2,744,564,244.36
  5. Step 5: Solve for x
    x = 2,744,564,244.36/76,500.72
  6. Step 6: Final answer
    x = 35,876.32

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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.