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Finding the Fourth Proportional to 64,236.31, 96,370.80 and 24,782.83

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Solution

The fourth proportional to 64,236.31, 96,370.80 and 24,782.83 is: 37,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,236.31 : 96,370.80 = 24,782.83 : x
  2. Step 2: Convert to fraction form
    64,236.31/96,370.80 = 24,782.83/x
  3. Step 3: Cross multiply
    64,236.31x = 96,370.80 × 24,782.83
  4. Step 4: Simplify right side
    64,236.31x = 2,388,341,153.36
  5. Step 5: Solve for x
    x = 2,388,341,153.36/64,236.31
  6. Step 6: Final answer
    x = 37,180.55

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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.