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Finding the Fourth Proportional to 82,011.81, 123,028.12 and 32,085.50

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Solution

The fourth proportional to 82,011.81, 123,028.12 and 32,085.50 is: 48,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.81 : 123,028.12 = 32,085.50 : x
  2. Step 2: Convert to fraction form
    82,011.81/123,028.12 = 32,085.50/x
  3. Step 3: Cross multiply
    82,011.81x = 123,028.12 × 32,085.50
  4. Step 4: Simplify right side
    82,011.81x = 3,947,418,744.26
  5. Step 5: Solve for x
    x = 3,947,418,744.26/82,011.81
  6. Step 6: Final answer
    x = 48,132.32

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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.