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Finding the Fourth Proportional to 82,057.49, 123,036.95 and 32,078.06

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Solution

The fourth proportional to 82,057.49, 123,036.95 and 32,078.06 is: 48,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.49 : 123,036.95 = 32,078.06 : x
  2. Step 2: Convert to fraction form
    82,057.49/123,036.95 = 32,078.06/x
  3. Step 3: Cross multiply
    82,057.49x = 123,036.95 × 32,078.06
  4. Step 4: Simplify right side
    82,057.49x = 3,946,786,811.52
  5. Step 5: Solve for x
    x = 3,946,786,811.52/82,057.49
  6. Step 6: Final answer
    x = 48,097.82

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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.