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Finding the Fourth Proportional to 65,894.49, 90,897.26 and 41,687.94

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Solution

The fourth proportional to 65,894.49, 90,897.26 and 41,687.94 is: 57,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.49 : 90,897.26 = 41,687.94 : x
  2. Step 2: Convert to fraction form
    65,894.49/90,897.26 = 41,687.94/x
  3. Step 3: Cross multiply
    65,894.49x = 90,897.26 × 41,687.94
  4. Step 4: Simplify right side
    65,894.49x = 3,789,319,312.60
  5. Step 5: Solve for x
    x = 3,789,319,312.60/65,894.49
  6. Step 6: Final answer
    x = 57,505.86

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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.