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Finding the Fourth Proportional to 82,845, 124,267.50 and 20,515.50

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Solution

The fourth proportional to 82,845, 124,267.50 and 20,515.50 is: 30,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,845 : 124,267.50 = 20,515.50 : x
  2. Step 2: Convert to fraction form
    82,845/124,267.50 = 20,515.50/x
  3. Step 3: Cross multiply
    82,845x = 124,267.50 × 20,515.50
  4. Step 4: Simplify right side
    82,845x = 2,549,409,896.25
  5. Step 5: Solve for x
    x = 2,549,409,896.25/82,845
  6. Step 6: Final answer
    x = 30,773.25

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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.