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Finding the Fourth Proportional to 69,702.84, 96,188.94 and 37,871.64

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Solution

The fourth proportional to 69,702.84, 96,188.94 and 37,871.64 is: 52,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702.84 : 96,188.94 = 37,871.64 : x
  2. Step 2: Convert to fraction form
    69,702.84/96,188.94 = 37,871.64/x
  3. Step 3: Cross multiply
    69,702.84x = 96,188.94 × 37,871.64
  4. Step 4: Simplify right side
    69,702.84x = 3,642,832,907.66
  5. Step 5: Solve for x
    x = 3,642,832,907.66/69,702.84
  6. Step 6: Final answer
    x = 52,262.33

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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.