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Finding the Fourth Proportional to 82,081.70, 123,032.30 and 32,152.50

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Solution

The fourth proportional to 82,081.70, 123,032.30 and 32,152.50 is: 48,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,081.70 : 123,032.30 = 32,152.50 : x
  2. Step 2: Convert to fraction form
    82,081.70/123,032.30 = 32,152.50/x
  3. Step 3: Cross multiply
    82,081.70x = 123,032.30 × 32,152.50
  4. Step 4: Simplify right side
    82,081.70x = 3,955,796,025.75
  5. Step 5: Solve for x
    x = 3,955,796,025.75/82,081.70
  6. Step 6: Final answer
    x = 48,193.40

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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.