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Finding the Fourth Proportional to 64,562.76, 96,863.58 and 23,013

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Solution

The fourth proportional to 64,562.76, 96,863.58 and 23,013 is: 34,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,562.76 : 96,863.58 = 23,013 : x
  2. Step 2: Convert to fraction form
    64,562.76/96,863.58 = 23,013/x
  3. Step 3: Cross multiply
    64,562.76x = 96,863.58 × 23,013
  4. Step 4: Simplify right side
    64,562.76x = 2,229,121,566.54
  5. Step 5: Solve for x
    x = 2,229,121,566.54/64,562.76
  6. Step 6: Final answer
    x = 34,526.43

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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.