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Finding the Fourth Proportional to 34,314.16, 51,470.70 and 10,940.44

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Solution

The fourth proportional to 34,314.16, 51,470.70 and 10,940.44 is: 16,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.16 : 51,470.70 = 10,940.44 : x
  2. Step 2: Convert to fraction form
    34,314.16/51,470.70 = 10,940.44/x
  3. Step 3: Cross multiply
    34,314.16x = 51,470.70 × 10,940.44
  4. Step 4: Simplify right side
    34,314.16x = 563,112,105.11
  5. Step 5: Solve for x
    x = 563,112,105.11/34,314.16
  6. Step 6: Final answer
    x = 16,410.49

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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.