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Finding the Fourth Proportional to 36,164.34, 54,246.58 and 9,872.96

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Solution

The fourth proportional to 36,164.34, 54,246.58 and 9,872.96 is: 14,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.34 : 54,246.58 = 9,872.96 : x
  2. Step 2: Convert to fraction form
    36,164.34/54,246.58 = 9,872.96/x
  3. Step 3: Cross multiply
    36,164.34x = 54,246.58 × 9,872.96
  4. Step 4: Simplify right side
    36,164.34x = 535,574,018.56
  5. Step 5: Solve for x
    x = 535,574,018.56/36,164.34
  6. Step 6: Final answer
    x = 14,809.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.