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Finding the Fourth Proportional to 82,662.24, 114,075.12 and 44,936.52

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Solution

The fourth proportional to 82,662.24, 114,075.12 and 44,936.52 is: 62,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,662.24 : 114,075.12 = 44,936.52 : x
  2. Step 2: Convert to fraction form
    82,662.24/114,075.12 = 44,936.52/x
  3. Step 3: Cross multiply
    82,662.24x = 114,075.12 × 44,936.52
  4. Step 4: Simplify right side
    82,662.24x = 5,126,138,911.38
  5. Step 5: Solve for x
    x = 5,126,138,911.38/82,662.24
  6. Step 6: Final answer
    x = 62,013.07

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Why These Related Problems?

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