Home / 109,701.26-164,558.26-30,821.64

Finding the Fourth Proportional to 109,701.26, 164,558.26 and 30,821.64

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Solution

The fourth proportional to 109,701.26, 164,558.26 and 30,821.64 is: 46,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701.26 : 164,558.26 = 30,821.64 : x
  2. Step 2: Convert to fraction form
    109,701.26/164,558.26 = 30,821.64/x
  3. Step 3: Cross multiply
    109,701.26x = 164,558.26 × 30,821.64
  4. Step 4: Simplify right side
    109,701.26x = 5,071,955,448.75
  5. Step 5: Solve for x
    x = 5,071,955,448.75/109,701.26
  6. Step 6: Final answer
    x = 46,234.25

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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.