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Finding the Fourth Proportional to 82,794.75, 114,256.77 and 45,069

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Solution

The fourth proportional to 82,794.75, 114,256.77 and 45,069 is: 62,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.75 : 114,256.77 = 45,069 : x
  2. Step 2: Convert to fraction form
    82,794.75/114,256.77 = 45,069/x
  3. Step 3: Cross multiply
    82,794.75x = 114,256.77 × 45,069
  4. Step 4: Simplify right side
    82,794.75x = 5,149,438,367.13
  5. Step 5: Solve for x
    x = 5,149,438,367.13/82,794.75
  6. Step 6: Final answer
    x = 62,195.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.