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Finding the Fourth Proportional to 65,993, 91,070.82 and 36,185

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Solution

The fourth proportional to 65,993, 91,070.82 and 36,185 is: 49,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,993 : 91,070.82 = 36,185 : x
  2. Step 2: Convert to fraction form
    65,993/91,070.82 = 36,185/x
  3. Step 3: Cross multiply
    65,993x = 91,070.82 × 36,185
  4. Step 4: Simplify right side
    65,993x = 3,295,397,621.70
  5. Step 5: Solve for x
    x = 3,295,397,621.70/65,993
  6. Step 6: Final answer
    x = 49,935.56

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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.