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Finding the Fourth Proportional to 82,707.36, 114,135.84 and 44,982.24

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Solution

The fourth proportional to 82,707.36, 114,135.84 and 44,982.24 is: 62,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707.36 : 114,135.84 = 44,982.24 : x
  2. Step 2: Convert to fraction form
    82,707.36/114,135.84 = 44,982.24/x
  3. Step 3: Cross multiply
    82,707.36x = 114,135.84 × 44,982.24
  4. Step 4: Simplify right side
    82,707.36x = 5,134,085,747.48
  5. Step 5: Solve for x
    x = 5,134,085,747.48/82,707.36
  6. Step 6: Final answer
    x = 62,075.32

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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.