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Finding the Fourth Proportional to 36,497.20, 54,729.80 and 16,769.20

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Solution

The fourth proportional to 36,497.20, 54,729.80 and 16,769.20 is: 25,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497.20 : 54,729.80 = 16,769.20 : x
  2. Step 2: Convert to fraction form
    36,497.20/54,729.80 = 16,769.20/x
  3. Step 3: Cross multiply
    36,497.20x = 54,729.80 × 16,769.20
  4. Step 4: Simplify right side
    36,497.20x = 917,774,962.16
  5. Step 5: Solve for x
    x = 917,774,962.16/36,497.20
  6. Step 6: Final answer
    x = 25,146.45

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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.