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Finding the Fourth Proportional to 33,297.90, 49,929.08 and 14,556

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Solution

The fourth proportional to 33,297.90, 49,929.08 and 14,556 is: 21,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297.90 : 49,929.08 = 14,556 : x
  2. Step 2: Convert to fraction form
    33,297.90/49,929.08 = 14,556/x
  3. Step 3: Cross multiply
    33,297.90x = 49,929.08 × 14,556
  4. Step 4: Simplify right side
    33,297.90x = 726,767,688.48
  5. Step 5: Solve for x
    x = 726,767,688.48/33,297.90
  6. Step 6: Final answer
    x = 21,826.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.