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Finding the Fourth Proportional to 65,017.56, 97,390.26 and 41,524.44

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Solution

The fourth proportional to 65,017.56, 97,390.26 and 41,524.44 is: 62,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.56 : 97,390.26 = 41,524.44 : x
  2. Step 2: Convert to fraction form
    65,017.56/97,390.26 = 41,524.44/x
  3. Step 3: Cross multiply
    65,017.56x = 97,390.26 × 41,524.44
  4. Step 4: Simplify right side
    65,017.56x = 4,044,076,007.95
  5. Step 5: Solve for x
    x = 4,044,076,007.95/65,017.56
  6. Step 6: Final answer
    x = 62,199.75

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Why These Related Problems?

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