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Finding the Fourth Proportional to 64,234.58, 96,366.48 and 34,651.76

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Solution

The fourth proportional to 64,234.58, 96,366.48 and 34,651.76 is: 51,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,234.58 : 96,366.48 = 34,651.76 : x
  2. Step 2: Convert to fraction form
    64,234.58/96,366.48 = 34,651.76/x
  3. Step 3: Cross multiply
    64,234.58x = 96,366.48 × 34,651.76
  4. Step 4: Simplify right side
    64,234.58x = 3,339,268,137.00
  5. Step 5: Solve for x
    x = 3,339,268,137.00/64,234.58
  6. Step 6: Final answer
    x = 51,985.52

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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.