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Finding the Fourth Proportional to 34,097.90, 51,154.90 and 10,724.34

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Solution

The fourth proportional to 34,097.90, 51,154.90 and 10,724.34 is: 16,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.90 : 51,154.90 = 10,724.34 : x
  2. Step 2: Convert to fraction form
    34,097.90/51,154.90 = 10,724.34/x
  3. Step 3: Cross multiply
    34,097.90x = 51,154.90 × 10,724.34
  4. Step 4: Simplify right side
    34,097.90x = 548,602,321.62
  5. Step 5: Solve for x
    x = 548,602,321.62/34,097.90
  6. Step 6: Final answer
    x = 16,089.04

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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.