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Finding the Fourth Proportional to 64,215.25, 96,281.87 and 30,868.97

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Solution

The fourth proportional to 64,215.25, 96,281.87 and 30,868.97 is: 46,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,215.25 : 96,281.87 = 30,868.97 : x
  2. Step 2: Convert to fraction form
    64,215.25/96,281.87 = 30,868.97/x
  3. Step 3: Cross multiply
    64,215.25x = 96,281.87 × 30,868.97
  4. Step 4: Simplify right side
    64,215.25x = 2,972,121,520.82
  5. Step 5: Solve for x
    x = 2,972,121,520.82/64,215.25
  6. Step 6: Final answer
    x = 46,283.74

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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.