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Finding the Fourth Proportional to 36,946.80, 55,420.48 and 9,244.80

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Solution

The fourth proportional to 36,946.80, 55,420.48 and 9,244.80 is: 13,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946.80 : 55,420.48 = 9,244.80 : x
  2. Step 2: Convert to fraction form
    36,946.80/55,420.48 = 9,244.80/x
  3. Step 3: Cross multiply
    36,946.80x = 55,420.48 × 9,244.80
  4. Step 4: Simplify right side
    36,946.80x = 512,351,253.50
  5. Step 5: Solve for x
    x = 512,351,253.50/36,946.80
  6. Step 6: Final answer
    x = 13,867.27

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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.