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Finding the Fourth Proportional to 34,202.85, 47,199.81 and 19,095.38

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Solution

The fourth proportional to 34,202.85, 47,199.81 and 19,095.38 is: 26,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202.85 : 47,199.81 = 19,095.38 : x
  2. Step 2: Convert to fraction form
    34,202.85/47,199.81 = 19,095.38/x
  3. Step 3: Cross multiply
    34,202.85x = 47,199.81 × 19,095.38
  4. Step 4: Simplify right side
    34,202.85x = 901,298,309.85
  5. Step 5: Solve for x
    x = 901,298,309.85/34,202.85
  6. Step 6: Final answer
    x = 26,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.