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Finding the Fourth Proportional to 64,622.43, 96,949.11 and 31,303.54

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Solution

The fourth proportional to 64,622.43, 96,949.11 and 31,303.54 is: 46,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622.43 : 96,949.11 = 31,303.54 : x
  2. Step 2: Convert to fraction form
    64,622.43/96,949.11 = 31,303.54/x
  3. Step 3: Cross multiply
    64,622.43x = 96,949.11 × 31,303.54
  4. Step 4: Simplify right side
    64,622.43x = 3,034,850,342.85
  5. Step 5: Solve for x
    x = 3,034,850,342.85/64,622.43
  6. Step 6: Final answer
    x = 46,962.80

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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.