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Finding the Fourth Proportional to 73,782.56, 110,608.08 and 27,024.50

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Solution

The fourth proportional to 73,782.56, 110,608.08 and 27,024.50 is: 40,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.56 : 110,608.08 = 27,024.50 : x
  2. Step 2: Convert to fraction form
    73,782.56/110,608.08 = 27,024.50/x
  3. Step 3: Cross multiply
    73,782.56x = 110,608.08 × 27,024.50
  4. Step 4: Simplify right side
    73,782.56x = 2,989,127,504.92
  5. Step 5: Solve for x
    x = 2,989,127,504.92/73,782.56
  6. Step 6: Final answer
    x = 40,512.66

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1.5x scale

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.