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Finding the Fourth Proportional to 82,005.40, 122,813.70 and 50,512.60

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Solution

The fourth proportional to 82,005.40, 122,813.70 and 50,512.60 is: 75,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.40 : 122,813.70 = 50,512.60 : x
  2. Step 2: Convert to fraction form
    82,005.40/122,813.70 = 50,512.60/x
  3. Step 3: Cross multiply
    82,005.40x = 122,813.70 × 50,512.60
  4. Step 4: Simplify right side
    82,005.40x = 6,203,639,302.62
  5. Step 5: Solve for x
    x = 6,203,639,302.62/82,005.40
  6. Step 6: Final answer
    x = 75,649.16

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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.