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Finding the Fourth Proportional to 66,782.48, 100,201.76 and 29,323.20

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Solution

The fourth proportional to 66,782.48, 100,201.76 and 29,323.20 is: 43,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.48 : 100,201.76 = 29,323.20 : x
  2. Step 2: Convert to fraction form
    66,782.48/100,201.76 = 29,323.20/x
  3. Step 3: Cross multiply
    66,782.48x = 100,201.76 × 29,323.20
  4. Step 4: Simplify right side
    66,782.48x = 2,938,236,248.83
  5. Step 5: Solve for x
    x = 2,938,236,248.83/66,782.48
  6. Step 6: Final answer
    x = 43,997.11

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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.