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Finding the Fourth Proportional to 82,128.60, 123,225.30 and 32,200.20

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Solution

The fourth proportional to 82,128.60, 123,225.30 and 32,200.20 is: 48,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,128.60 : 123,225.30 = 32,200.20 : x
  2. Step 2: Convert to fraction form
    82,128.60/123,225.30 = 32,200.20/x
  3. Step 3: Cross multiply
    82,128.60x = 123,225.30 × 32,200.20
  4. Step 4: Simplify right side
    82,128.60x = 3,967,879,305.06
  5. Step 5: Solve for x
    x = 3,967,879,305.06/82,128.60
  6. Step 6: Final answer
    x = 48,313.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.