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Finding the Fourth Proportional to 24,346.50, 36,519.78 and 5,878.50

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Solution

The fourth proportional to 24,346.50, 36,519.78 and 5,878.50 is: 8,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.50 : 36,519.78 = 5,878.50 : x
  2. Step 2: Convert to fraction form
    24,346.50/36,519.78 = 5,878.50/x
  3. Step 3: Cross multiply
    24,346.50x = 36,519.78 × 5,878.50
  4. Step 4: Simplify right side
    24,346.50x = 214,681,526.73
  5. Step 5: Solve for x
    x = 214,681,526.73/24,346.50
  6. Step 6: Final answer
    x = 8,817.76

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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.