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Finding the Fourth Proportional to 65,857.41, 90,883.11 and 35,643.27

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Solution

The fourth proportional to 65,857.41, 90,883.11 and 35,643.27 is: 49,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.41 : 90,883.11 = 35,643.27 : x
  2. Step 2: Convert to fraction form
    65,857.41/90,883.11 = 35,643.27/x
  3. Step 3: Cross multiply
    65,857.41x = 90,883.11 × 35,643.27
  4. Step 4: Simplify right side
    65,857.41x = 3,239,371,228.17
  5. Step 5: Solve for x
    x = 3,239,371,228.17/65,857.41
  6. Step 6: Final answer
    x = 49,187.65

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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.