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Finding the Fourth Proportional to 34,265.66, 47,247.45 and 27,874.76

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Solution

The fourth proportional to 34,265.66, 47,247.45 and 27,874.76 is: 38,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.66 : 47,247.45 = 27,874.76 : x
  2. Step 2: Convert to fraction form
    34,265.66/47,247.45 = 27,874.76/x
  3. Step 3: Cross multiply
    34,265.66x = 47,247.45 × 27,874.76
  4. Step 4: Simplify right side
    34,265.66x = 1,317,011,329.36
  5. Step 5: Solve for x
    x = 1,317,011,329.36/34,265.66
  6. Step 6: Final answer
    x = 38,435.31

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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.