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Finding the Fourth Proportional to 34,211.99, 47,257.88 and 27,522.81

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Solution

The fourth proportional to 34,211.99, 47,257.88 and 27,522.81 is: 38,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211.99 : 47,257.88 = 27,522.81 : x
  2. Step 2: Convert to fraction form
    34,211.99/47,257.88 = 27,522.81/x
  3. Step 3: Cross multiply
    34,211.99x = 47,257.88 × 27,522.81
  4. Step 4: Simplify right side
    34,211.99x = 1,300,669,514.63
  5. Step 5: Solve for x
    x = 1,300,669,514.63/34,211.99
  6. Step 6: Final answer
    x = 38,017.95

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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.