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Finding the Fourth Proportional to 36,947, 55,420.50 and 9,245

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Solution

The fourth proportional to 36,947, 55,420.50 and 9,245 is: 13,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947 : 55,420.50 = 9,245 : x
  2. Step 2: Convert to fraction form
    36,947/55,420.50 = 9,245/x
  3. Step 3: Cross multiply
    36,947x = 55,420.50 × 9,245
  4. Step 4: Simplify right side
    36,947x = 512,362,522.50
  5. Step 5: Solve for x
    x = 512,362,522.50/36,947
  6. Step 6: Final answer
    x = 13,867.50

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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.