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Finding the Fourth Proportional to 20,032.56, 30,055.78 and 7,556.16

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Solution

The fourth proportional to 20,032.56, 30,055.78 and 7,556.16 is: 11,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.56 : 30,055.78 = 7,556.16 : x
  2. Step 2: Convert to fraction form
    20,032.56/30,055.78 = 7,556.16/x
  3. Step 3: Cross multiply
    20,032.56x = 30,055.78 × 7,556.16
  4. Step 4: Simplify right side
    20,032.56x = 227,106,282.60
  5. Step 5: Solve for x
    x = 227,106,282.60/20,032.56
  6. Step 6: Final answer
    x = 11,336.86

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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.