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Finding the Fourth Proportional to 65,024.26, 89,772.16 and 41,171.38

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Solution

The fourth proportional to 65,024.26, 89,772.16 and 41,171.38 is: 56,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.26 : 89,772.16 = 41,171.38 : x
  2. Step 2: Convert to fraction form
    65,024.26/89,772.16 = 41,171.38/x
  3. Step 3: Cross multiply
    65,024.26x = 89,772.16 × 41,171.38
  4. Step 4: Simplify right side
    65,024.26x = 3,696,043,712.78
  5. Step 5: Solve for x
    x = 3,696,043,712.78/65,024.26
  6. Step 6: Final answer
    x = 56,841.00

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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.