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Finding the Fourth Proportional to 52,022.80, 78,034.20 and 51,245.20

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Solution

The fourth proportional to 52,022.80, 78,034.20 and 51,245.20 is: 76,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.80 : 78,034.20 = 51,245.20 : x
  2. Step 2: Convert to fraction form
    52,022.80/78,034.20 = 51,245.20/x
  3. Step 3: Cross multiply
    52,022.80x = 78,034.20 × 51,245.20
  4. Step 4: Simplify right side
    52,022.80x = 3,998,878,185.84
  5. Step 5: Solve for x
    x = 3,998,878,185.84/52,022.80
  6. Step 6: Final answer
    x = 76,867.80

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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.