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Finding the Fourth Proportional to 69,702.67, 96,189.69 and 37,871.47

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Solution

The fourth proportional to 69,702.67, 96,189.69 and 37,871.47 is: 52,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702.67 : 96,189.69 = 37,871.47 : x
  2. Step 2: Convert to fraction form
    69,702.67/96,189.69 = 37,871.47/x
  3. Step 3: Cross multiply
    69,702.67x = 96,189.69 × 37,871.47
  4. Step 4: Simplify right side
    69,702.67x = 3,642,844,959.14
  5. Step 5: Solve for x
    x = 3,642,844,959.14/69,702.67
  6. Step 6: Final answer
    x = 52,262.63

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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.