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Finding the Fourth Proportional to 109,797.93, 164,664.23 and 46,617.12

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Solution

The fourth proportional to 109,797.93, 164,664.23 and 46,617.12 is: 69,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,797.93 : 164,664.23 = 46,617.12 : x
  2. Step 2: Convert to fraction form
    109,797.93/164,664.23 = 46,617.12/x
  3. Step 3: Cross multiply
    109,797.93x = 164,664.23 × 46,617.12
  4. Step 4: Simplify right side
    109,797.93x = 7,676,171,936.53
  5. Step 5: Solve for x
    x = 7,676,171,936.53/109,797.93
  6. Step 6: Final answer
    x = 69,911.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.