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Finding the Fourth Proportional to 33,435, 50,175.58 and 11,547

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Solution

The fourth proportional to 33,435, 50,175.58 and 11,547 is: 17,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 50,175.58 = 11,547 : x
  2. Step 2: Convert to fraction form
    33,435/50,175.58 = 11,547/x
  3. Step 3: Cross multiply
    33,435x = 50,175.58 × 11,547
  4. Step 4: Simplify right side
    33,435x = 579,377,422.26
  5. Step 5: Solve for x
    x = 579,377,422.26/33,435
  6. Step 6: Final answer
    x = 17,328.47

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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.