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Finding the Fourth Proportional to 82,707.75, 114,136.83 and 44,982

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Solution

The fourth proportional to 82,707.75, 114,136.83 and 44,982 is: 62,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707.75 : 114,136.83 = 44,982 : x
  2. Step 2: Convert to fraction form
    82,707.75/114,136.83 = 44,982/x
  3. Step 3: Cross multiply
    82,707.75x = 114,136.83 × 44,982
  4. Step 4: Simplify right side
    82,707.75x = 5,134,102,887.06
  5. Step 5: Solve for x
    x = 5,134,102,887.06/82,707.75
  6. Step 6: Final answer
    x = 62,075.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.