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Finding the Fourth Proportional to 24,319, 36,478.50 and 5,851

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Solution

The fourth proportional to 24,319, 36,478.50 and 5,851 is: 8,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319 : 36,478.50 = 5,851 : x
  2. Step 2: Convert to fraction form
    24,319/36,478.50 = 5,851/x
  3. Step 3: Cross multiply
    24,319x = 36,478.50 × 5,851
  4. Step 4: Simplify right side
    24,319x = 213,435,703.50
  5. Step 5: Solve for x
    x = 213,435,703.50/24,319
  6. Step 6: Final answer
    x = 8,776.50

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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.