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Finding the Fourth Proportional to 34,246.91, 47,221.57 and 27,856.01

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Solution

The fourth proportional to 34,246.91, 47,221.57 and 27,856.01 is: 38,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246.91 : 47,221.57 = 27,856.01 : x
  2. Step 2: Convert to fraction form
    34,246.91/47,221.57 = 27,856.01/x
  3. Step 3: Cross multiply
    34,246.91x = 47,221.57 × 27,856.01
  4. Step 4: Simplify right side
    34,246.91x = 1,315,404,526.14
  5. Step 5: Solve for x
    x = 1,315,404,526.14/34,246.91
  6. Step 6: Final answer
    x = 38,409.44

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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.