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Finding the Fourth Proportional to 64,456, 96,684 and 22,904.64

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Solution

The fourth proportional to 64,456, 96,684 and 22,904.64 is: 34,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456 : 96,684 = 22,904.64 : x
  2. Step 2: Convert to fraction form
    64,456/96,684 = 22,904.64/x
  3. Step 3: Cross multiply
    64,456x = 96,684 × 22,904.64
  4. Step 4: Simplify right side
    64,456x = 2,214,512,213.76
  5. Step 5: Solve for x
    x = 2,214,512,213.76/64,456
  6. Step 6: Final answer
    x = 34,356.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.