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Finding the Fourth Proportional to 28,843, 39,767.28 and 24,069.82

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Solution

The fourth proportional to 28,843, 39,767.28 and 24,069.82 is: 33,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,843 : 39,767.28 = 24,069.82 : x
  2. Step 2: Convert to fraction form
    28,843/39,767.28 = 24,069.82/x
  3. Step 3: Cross multiply
    28,843x = 39,767.28 × 24,069.82
  4. Step 4: Simplify right side
    28,843x = 957,191,271.49
  5. Step 5: Solve for x
    x = 957,191,271.49/28,843
  6. Step 6: Final answer
    x = 33,186.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.