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Finding the Fourth Proportional to 34,765.25, 52,149.50 and 10,141.25

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Solution

The fourth proportional to 34,765.25, 52,149.50 and 10,141.25 is: 15,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.25 : 52,149.50 = 10,141.25 : x
  2. Step 2: Convert to fraction form
    34,765.25/52,149.50 = 10,141.25/x
  3. Step 3: Cross multiply
    34,765.25x = 52,149.50 × 10,141.25
  4. Step 4: Simplify right side
    34,765.25x = 528,861,116.88
  5. Step 5: Solve for x
    x = 528,861,116.88/34,765.25
  6. Step 6: Final answer
    x = 15,212.35

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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.