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Finding the Fourth Proportional to 82,245.80, 123,314.70 and 32,295.80

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Solution

The fourth proportional to 82,245.80, 123,314.70 and 32,295.80 is: 48,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.80 : 123,314.70 = 32,295.80 : x
  2. Step 2: Convert to fraction form
    82,245.80/123,314.70 = 32,295.80/x
  3. Step 3: Cross multiply
    82,245.80x = 123,314.70 × 32,295.80
  4. Step 4: Simplify right side
    82,245.80x = 3,982,546,888.26
  5. Step 5: Solve for x
    x = 3,982,546,888.26/82,245.80
  6. Step 6: Final answer
    x = 48,422.50

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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.