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Finding the Fourth Proportional to 82,633.30, 114,033.94 and 44,907.54

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Solution

The fourth proportional to 82,633.30, 114,033.94 and 44,907.54 is: 61,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633.30 : 114,033.94 = 44,907.54 : x
  2. Step 2: Convert to fraction form
    82,633.30/114,033.94 = 44,907.54/x
  3. Step 3: Cross multiply
    82,633.30x = 114,033.94 × 44,907.54
  4. Step 4: Simplify right side
    82,633.30x = 5,120,983,721.91
  5. Step 5: Solve for x
    x = 5,120,983,721.91/82,633.30
  6. Step 6: Final answer
    x = 61,972.40

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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.