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Finding the Fourth Proportional to 94,116, 141,169.94 and 23,993.22

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Solution

The fourth proportional to 94,116, 141,169.94 and 23,993.22 is: 35,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,116 : 141,169.94 = 23,993.22 : x
  2. Step 2: Convert to fraction form
    94,116/141,169.94 = 23,993.22/x
  3. Step 3: Cross multiply
    94,116x = 141,169.94 × 23,993.22
  4. Step 4: Simplify right side
    94,116x = 3,387,121,427.81
  5. Step 5: Solve for x
    x = 3,387,121,427.81/94,116
  6. Step 6: Final answer
    x = 35,988.79

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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.