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Finding the Fourth Proportional to 65,791.58, 90,735 and 46,633.46

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Solution

The fourth proportional to 65,791.58, 90,735 and 46,633.46 is: 64,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791.58 : 90,735 = 46,633.46 : x
  2. Step 2: Convert to fraction form
    65,791.58/90,735 = 46,633.46/x
  3. Step 3: Cross multiply
    65,791.58x = 90,735 × 46,633.46
  4. Step 4: Simplify right side
    65,791.58x = 4,231,286,993.10
  5. Step 5: Solve for x
    x = 4,231,286,993.10/65,791.58
  6. Step 6: Final answer
    x = 64,313.50

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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.