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Finding the Fourth Proportional to 94,042.62, 141,064.74 and 23,922

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Solution

The fourth proportional to 94,042.62, 141,064.74 and 23,922 is: 35,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,042.62 : 141,064.74 = 23,922 : x
  2. Step 2: Convert to fraction form
    94,042.62/141,064.74 = 23,922/x
  3. Step 3: Cross multiply
    94,042.62x = 141,064.74 × 23,922
  4. Step 4: Simplify right side
    94,042.62x = 3,374,550,710.28
  5. Step 5: Solve for x
    x = 3,374,550,710.28/94,042.62
  6. Step 6: Final answer
    x = 35,883.21

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