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Finding the Fourth Proportional to 34,648.35, 47,805.84 and 21,214.71

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Solution

The fourth proportional to 34,648.35, 47,805.84 and 21,214.71 is: 29,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.35 : 47,805.84 = 21,214.71 : x
  2. Step 2: Convert to fraction form
    34,648.35/47,805.84 = 21,214.71/x
  3. Step 3: Cross multiply
    34,648.35x = 47,805.84 × 21,214.71
  4. Step 4: Simplify right side
    34,648.35x = 1,014,187,031.91
  5. Step 5: Solve for x
    x = 1,014,187,031.91/34,648.35
  6. Step 6: Final answer
    x = 29,270.86

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