Home / 109,972.92-164,969.02-31,087.14

Finding the Fourth Proportional to 109,972.92, 164,969.02 and 31,087.14

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Solution

The fourth proportional to 109,972.92, 164,969.02 and 31,087.14 is: 46,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972.92 : 164,969.02 = 31,087.14 : x
  2. Step 2: Convert to fraction form
    109,972.92/164,969.02 = 31,087.14/x
  3. Step 3: Cross multiply
    109,972.92x = 164,969.02 × 31,087.14
  4. Step 4: Simplify right side
    109,972.92x = 5,128,415,237.43
  5. Step 5: Solve for x
    x = 5,128,415,237.43/109,972.92
  6. Step 6: Final answer
    x = 46,633.44

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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.