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Finding the Fourth Proportional to 37,549, 56,323.50 and 9,847

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Solution

The fourth proportional to 37,549, 56,323.50 and 9,847 is: 14,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,549 : 56,323.50 = 9,847 : x
  2. Step 2: Convert to fraction form
    37,549/56,323.50 = 9,847/x
  3. Step 3: Cross multiply
    37,549x = 56,323.50 × 9,847
  4. Step 4: Simplify right side
    37,549x = 554,617,504.50
  5. Step 5: Solve for x
    x = 554,617,504.50/37,549
  6. Step 6: Final answer
    x = 14,770.50

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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.