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Finding the Fourth Proportional to 70,704.90, 105,969.87 and 35,625.42

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Solution

The fourth proportional to 70,704.90, 105,969.87 and 35,625.42 is: 53,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704.90 : 105,969.87 = 35,625.42 : x
  2. Step 2: Convert to fraction form
    70,704.90/105,969.87 = 35,625.42/x
  3. Step 3: Cross multiply
    70,704.90x = 105,969.87 × 35,625.42
  4. Step 4: Simplify right side
    70,704.90x = 3,775,221,126.10
  5. Step 5: Solve for x
    x = 3,775,221,126.10/70,704.90
  6. Step 6: Final answer
    x = 53,394.05

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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.