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Finding the Fourth Proportional to 65,072.26, 89,809.35 and 41,201.16

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Solution

The fourth proportional to 65,072.26, 89,809.35 and 41,201.16 is: 56,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.26 : 89,809.35 = 41,201.16 : x
  2. Step 2: Convert to fraction form
    65,072.26/89,809.35 = 41,201.16/x
  3. Step 3: Cross multiply
    65,072.26x = 89,809.35 × 41,201.16
  4. Step 4: Simplify right side
    65,072.26x = 3,700,249,398.85
  5. Step 5: Solve for x
    x = 3,700,249,398.85/65,072.26
  6. Step 6: Final answer
    x = 56,863.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.