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Finding the Fourth Proportional to 55,201.44, 82,777.20 and 15,749.16

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Solution

The fourth proportional to 55,201.44, 82,777.20 and 15,749.16 is: 23,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.44 : 82,777.20 = 15,749.16 : x
  2. Step 2: Convert to fraction form
    55,201.44/82,777.20 = 15,749.16/x
  3. Step 3: Cross multiply
    55,201.44x = 82,777.20 × 15,749.16
  4. Step 4: Simplify right side
    55,201.44x = 1,303,671,367.15
  5. Step 5: Solve for x
    x = 1,303,671,367.15/55,201.44
  6. Step 6: Final answer
    x = 23,616.62

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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.