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Finding the Fourth Proportional to 64,138.22, 96,216.38 and 19,768.58

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Solution

The fourth proportional to 64,138.22, 96,216.38 and 19,768.58 is: 29,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.22 : 96,216.38 = 19,768.58 : x
  2. Step 2: Convert to fraction form
    64,138.22/96,216.38 = 19,768.58/x
  3. Step 3: Cross multiply
    64,138.22x = 96,216.38 × 19,768.58
  4. Step 4: Simplify right side
    64,138.22x = 1,902,061,106.50
  5. Step 5: Solve for x
    x = 1,902,061,106.50/64,138.22
  6. Step 6: Final answer
    x = 29,655.66

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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.