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Finding the Fourth Proportional to 71,664.48, 98,900.64 and 39,834

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Solution

The fourth proportional to 71,664.48, 98,900.64 and 39,834 is: 54,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.48 : 98,900.64 = 39,834 : x
  2. Step 2: Convert to fraction form
    71,664.48/98,900.64 = 39,834/x
  3. Step 3: Cross multiply
    71,664.48x = 98,900.64 × 39,834
  4. Step 4: Simplify right side
    71,664.48x = 3,939,608,093.76
  5. Step 5: Solve for x
    x = 3,939,608,093.76/71,664.48
  6. Step 6: Final answer
    x = 54,972.95

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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.