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Finding the Fourth Proportional to 46,682, 64,474.90 and 33,991.92

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Solution

The fourth proportional to 46,682, 64,474.90 and 33,991.92 is: 46,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,682 : 64,474.90 = 33,991.92 : x
  2. Step 2: Convert to fraction form
    46,682/64,474.90 = 33,991.92/x
  3. Step 3: Cross multiply
    46,682x = 64,474.90 × 33,991.92
  4. Step 4: Simplify right side
    46,682x = 2,191,625,642.81
  5. Step 5: Solve for x
    x = 2,191,625,642.81/46,682
  6. Step 6: Final answer
    x = 46,947.98

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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.