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Finding the Fourth Proportional to 82,603.90, 123,918.81 and 49,361.50

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Solution

The fourth proportional to 82,603.90, 123,918.81 and 49,361.50 is: 74,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,603.90 : 123,918.81 = 49,361.50 : x
  2. Step 2: Convert to fraction form
    82,603.90/123,918.81 = 49,361.50/x
  3. Step 3: Cross multiply
    82,603.90x = 123,918.81 × 49,361.50
  4. Step 4: Simplify right side
    82,603.90x = 6,116,818,339.82
  5. Step 5: Solve for x
    x = 6,116,818,339.82/82,603.90
  6. Step 6: Final answer
    x = 74,049.99

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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.