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Finding the Fourth Proportional to 69,702.71, 96,190.16 and 37,871.69

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Solution

The fourth proportional to 69,702.71, 96,190.16 and 37,871.69 is: 52,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702.71 : 96,190.16 = 37,871.69 : x
  2. Step 2: Convert to fraction form
    69,702.71/96,190.16 = 37,871.69/x
  3. Step 3: Cross multiply
    69,702.71x = 96,190.16 × 37,871.69
  4. Step 4: Simplify right side
    69,702.71x = 3,642,883,250.26
  5. Step 5: Solve for x
    x = 3,642,883,250.26/69,702.71
  6. Step 6: Final answer
    x = 52,263.15

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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.