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Finding the Fourth Proportional to 85,138.49, 127,702.97 and 25,969.50

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Solution

The fourth proportional to 85,138.49, 127,702.97 and 25,969.50 is: 38,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.49 : 127,702.97 = 25,969.50 : x
  2. Step 2: Convert to fraction form
    85,138.49/127,702.97 = 25,969.50/x
  3. Step 3: Cross multiply
    85,138.49x = 127,702.97 × 25,969.50
  4. Step 4: Simplify right side
    85,138.49x = 3,316,382,149.57
  5. Step 5: Solve for x
    x = 3,316,382,149.57/85,138.49
  6. Step 6: Final answer
    x = 38,952.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.