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Finding the Fourth Proportional to 64,201.61, 96,295.13 and 24,755.42

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Solution

The fourth proportional to 64,201.61, 96,295.13 and 24,755.42 is: 37,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,201.61 : 96,295.13 = 24,755.42 : x
  2. Step 2: Convert to fraction form
    64,201.61/96,295.13 = 24,755.42/x
  3. Step 3: Cross multiply
    64,201.61x = 96,295.13 × 24,755.42
  4. Step 4: Simplify right side
    64,201.61x = 2,383,826,596.90
  5. Step 5: Solve for x
    x = 2,383,826,596.90/64,201.61
  6. Step 6: Final answer
    x = 37,130.32

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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.