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Finding the Fourth Proportional to 82,152.80, 123,228.80 and 32,197.60

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Solution

The fourth proportional to 82,152.80, 123,228.80 and 32,197.60 is: 48,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.80 : 123,228.80 = 32,197.60 : x
  2. Step 2: Convert to fraction form
    82,152.80/123,228.80 = 32,197.60/x
  3. Step 3: Cross multiply
    82,152.80x = 123,228.80 × 32,197.60
  4. Step 4: Simplify right side
    82,152.80x = 3,967,671,610.88
  5. Step 5: Solve for x
    x = 3,967,671,610.88/82,152.80
  6. Step 6: Final answer
    x = 48,296.24

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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.