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Finding the Fourth Proportional to 94,047.70, 140,972.36 and 30,851.32

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Solution

The fourth proportional to 94,047.70, 140,972.36 and 30,851.32 is: 46,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,047.70 : 140,972.36 = 30,851.32 : x
  2. Step 2: Convert to fraction form
    94,047.70/140,972.36 = 30,851.32/x
  3. Step 3: Cross multiply
    94,047.70x = 140,972.36 × 30,851.32
  4. Step 4: Simplify right side
    94,047.70x = 4,349,183,389.52
  5. Step 5: Solve for x
    x = 4,349,183,389.52/94,047.70
  6. Step 6: Final answer
    x = 46,244.44

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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.