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Finding the Fourth Proportional to 22,842.50, 34,268.16 and 8,051.90

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Solution

The fourth proportional to 22,842.50, 34,268.16 and 8,051.90 is: 12,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.50 : 34,268.16 = 8,051.90 : x
  2. Step 2: Convert to fraction form
    22,842.50/34,268.16 = 8,051.90/x
  3. Step 3: Cross multiply
    22,842.50x = 34,268.16 × 8,051.90
  4. Step 4: Simplify right side
    22,842.50x = 275,923,797.50
  5. Step 5: Solve for x
    x = 275,923,797.50/22,842.50
  6. Step 6: Final answer
    x = 12,079.40

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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.