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Finding the Fourth Proportional to 51,194.90, 76,800.46 and 17,914.16

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Solution

The fourth proportional to 51,194.90, 76,800.46 and 17,914.16 is: 26,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194.90 : 76,800.46 = 17,914.16 : x
  2. Step 2: Convert to fraction form
    51,194.90/76,800.46 = 17,914.16/x
  3. Step 3: Cross multiply
    51,194.90x = 76,800.46 × 17,914.16
  4. Step 4: Simplify right side
    51,194.90x = 1,375,815,728.51
  5. Step 5: Solve for x
    x = 1,375,815,728.51/51,194.90
  6. Step 6: Final answer
    x = 26,874.08

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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.