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Finding the Fourth Proportional to 71,012.64, 106,491.36 and 23,613.12

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Solution

The fourth proportional to 71,012.64, 106,491.36 and 23,613.12 is: 35,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012.64 : 106,491.36 = 23,613.12 : x
  2. Step 2: Convert to fraction form
    71,012.64/106,491.36 = 23,613.12/x
  3. Step 3: Cross multiply
    71,012.64x = 106,491.36 × 23,613.12
  4. Step 4: Simplify right side
    71,012.64x = 2,514,593,262.64
  5. Step 5: Solve for x
    x = 2,514,593,262.64/71,012.64
  6. Step 6: Final answer
    x = 35,410.50

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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.