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Finding the Fourth Proportional to 33,298.90, 49,930.58 and 14,557

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Solution

The fourth proportional to 33,298.90, 49,930.58 and 14,557 is: 21,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.90 : 49,930.58 = 14,557 : x
  2. Step 2: Convert to fraction form
    33,298.90/49,930.58 = 14,557/x
  3. Step 3: Cross multiply
    33,298.90x = 49,930.58 × 14,557
  4. Step 4: Simplify right side
    33,298.90x = 726,839,453.06
  5. Step 5: Solve for x
    x = 726,839,453.06/33,298.90
  6. Step 6: Final answer
    x = 21,827.73

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1.5x scale

Why These Related Problems?

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