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Finding the Fourth Proportional to 34,216, 47,256.96 and 23,018.56

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Solution

The fourth proportional to 34,216, 47,256.96 and 23,018.56 is: 31,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216 : 47,256.96 = 23,018.56 : x
  2. Step 2: Convert to fraction form
    34,216/47,256.96 = 23,018.56/x
  3. Step 3: Cross multiply
    34,216x = 47,256.96 × 23,018.56
  4. Step 4: Simplify right side
    34,216x = 1,087,787,169.18
  5. Step 5: Solve for x
    x = 1,087,787,169.18/34,216
  6. Step 6: Final answer
    x = 31,791.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.