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Finding the Fourth Proportional to 69,843.63, 96,214.86 and 51,907.53

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Solution

The fourth proportional to 69,843.63, 96,214.86 and 51,907.53 is: 71,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.63 : 96,214.86 = 51,907.53 : x
  2. Step 2: Convert to fraction form
    69,843.63/96,214.86 = 51,907.53/x
  3. Step 3: Cross multiply
    69,843.63x = 96,214.86 × 51,907.53
  4. Step 4: Simplify right side
    69,843.63x = 4,994,275,731.90
  5. Step 5: Solve for x
    x = 4,994,275,731.90/69,843.63
  6. Step 6: Final answer
    x = 71,506.53

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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.