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Finding the Fourth Proportional to 82,140.33, 123,210.50 and 32,243.93

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Solution

The fourth proportional to 82,140.33, 123,210.50 and 32,243.93 is: 48,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140.33 : 123,210.50 = 32,243.93 : x
  2. Step 2: Convert to fraction form
    82,140.33/123,210.50 = 32,243.93/x
  3. Step 3: Cross multiply
    82,140.33x = 123,210.50 × 32,243.93
  4. Step 4: Simplify right side
    82,140.33x = 3,972,789,959.99
  5. Step 5: Solve for x
    x = 3,972,789,959.99/82,140.33
  6. Step 6: Final answer
    x = 48,365.89

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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.