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Finding the Fourth Proportional to 94,150, 141,224.87 and 24,029.31

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Solution

The fourth proportional to 94,150, 141,224.87 and 24,029.31 is: 36,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,150 : 141,224.87 = 24,029.31 : x
  2. Step 2: Convert to fraction form
    94,150/141,224.87 = 24,029.31/x
  3. Step 3: Cross multiply
    94,150x = 141,224.87 × 24,029.31
  4. Step 4: Simplify right side
    94,150x = 3,393,536,180.94
  5. Step 5: Solve for x
    x = 3,393,536,180.94/94,150
  6. Step 6: Final answer
    x = 36,043.93

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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.