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Finding the Fourth Proportional to 71,274.10, 106,934.90 and 23,893.87

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Solution

The fourth proportional to 71,274.10, 106,934.90 and 23,893.87 is: 35,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.10 : 106,934.90 = 23,893.87 : x
  2. Step 2: Convert to fraction form
    71,274.10/106,934.90 = 23,893.87/x
  3. Step 3: Cross multiply
    71,274.10x = 106,934.90 × 23,893.87
  4. Step 4: Simplify right side
    71,274.10x = 2,555,088,599.06
  5. Step 5: Solve for x
    x = 2,555,088,599.06/71,274.10
  6. Step 6: Final answer
    x = 35,848.77

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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.