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Finding the Fourth Proportional to 64,161.54, 96,217.65 and 22,033.74

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Solution

The fourth proportional to 64,161.54, 96,217.65 and 22,033.74 is: 33,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,161.54 : 96,217.65 = 22,033.74 : x
  2. Step 2: Convert to fraction form
    64,161.54/96,217.65 = 22,033.74/x
  3. Step 3: Cross multiply
    64,161.54x = 96,217.65 × 22,033.74
  4. Step 4: Simplify right side
    64,161.54x = 2,120,034,683.51
  5. Step 5: Solve for x
    x = 2,120,034,683.51/64,161.54
  6. Step 6: Final answer
    x = 33,042.14

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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.