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Finding the Fourth Proportional to 65,897.34, 90,914.77 and 40,394.49

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Solution

The fourth proportional to 65,897.34, 90,914.77 and 40,394.49 is: 55,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.34 : 90,914.77 = 40,394.49 : x
  2. Step 2: Convert to fraction form
    65,897.34/90,914.77 = 40,394.49/x
  3. Step 3: Cross multiply
    65,897.34x = 90,914.77 × 40,394.49
  4. Step 4: Simplify right side
    65,897.34x = 3,672,455,767.62
  5. Step 5: Solve for x
    x = 3,672,455,767.62/65,897.34
  6. Step 6: Final answer
    x = 55,729.95

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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.