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Finding the Fourth Proportional to 33,337.03, 49,711.46 and 33,037

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Solution

The fourth proportional to 33,337.03, 49,711.46 and 33,037 is: 49,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337.03 : 49,711.46 = 33,037 : x
  2. Step 2: Convert to fraction form
    33,337.03/49,711.46 = 33,037/x
  3. Step 3: Cross multiply
    33,337.03x = 49,711.46 × 33,037
  4. Step 4: Simplify right side
    33,337.03x = 1,642,317,504.02
  5. Step 5: Solve for x
    x = 1,642,317,504.02/33,337.03
  6. Step 6: Final answer
    x = 49,264.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.