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Finding the Fourth Proportional to 33,730, 50,603.16 and 12,953.56

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Solution

The fourth proportional to 33,730, 50,603.16 and 12,953.56 is: 19,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730 : 50,603.16 = 12,953.56 : x
  2. Step 2: Convert to fraction form
    33,730/50,603.16 = 12,953.56/x
  3. Step 3: Cross multiply
    33,730x = 50,603.16 × 12,953.56
  4. Step 4: Simplify right side
    33,730x = 655,491,069.25
  5. Step 5: Solve for x
    x = 655,491,069.25/33,730
  6. Step 6: Final answer
    x = 19,433.47

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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.