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Finding the Fourth Proportional to 76,502.72, 114,770.28 and 23,916.17

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Solution

The fourth proportional to 76,502.72, 114,770.28 and 23,916.17 is: 35,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.72 : 114,770.28 = 23,916.17 : x
  2. Step 2: Convert to fraction form
    76,502.72/114,770.28 = 23,916.17/x
  3. Step 3: Cross multiply
    76,502.72x = 114,770.28 × 23,916.17
  4. Step 4: Simplify right side
    76,502.72x = 2,744,865,527.43
  5. Step 5: Solve for x
    x = 2,744,865,527.43/76,502.72
  6. Step 6: Final answer
    x = 35,879.32

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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.