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Finding the Fourth Proportional to 51,139.76, 76,683.72 and 23,414

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Solution

The fourth proportional to 51,139.76, 76,683.72 and 23,414 is: 35,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,139.76 : 76,683.72 = 23,414 : x
  2. Step 2: Convert to fraction form
    51,139.76/76,683.72 = 23,414/x
  3. Step 3: Cross multiply
    51,139.76x = 76,683.72 × 23,414
  4. Step 4: Simplify right side
    51,139.76x = 1,795,472,620.08
  5. Step 5: Solve for x
    x = 1,795,472,620.08/51,139.76
  6. Step 6: Final answer
    x = 35,109.13

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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.