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Finding the Fourth Proportional to 33,031.98, 49,552.38 and 9,658.08

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Solution

The fourth proportional to 33,031.98, 49,552.38 and 9,658.08 is: 14,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.98 : 49,552.38 = 9,658.08 : x
  2. Step 2: Convert to fraction form
    33,031.98/49,552.38 = 9,658.08/x
  3. Step 3: Cross multiply
    33,031.98x = 49,552.38 × 9,658.08
  4. Step 4: Simplify right side
    33,031.98x = 478,580,850.23
  5. Step 5: Solve for x
    x = 478,580,850.23/33,031.98
  6. Step 6: Final answer
    x = 14,488.41

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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.