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Finding the Fourth Proportional to 36,423.36, 54,624.24 and 15,642

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Solution

The fourth proportional to 36,423.36, 54,624.24 and 15,642 is: 23,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,423.36 : 54,624.24 = 15,642 : x
  2. Step 2: Convert to fraction form
    36,423.36/54,624.24 = 15,642/x
  3. Step 3: Cross multiply
    36,423.36x = 54,624.24 × 15,642
  4. Step 4: Simplify right side
    36,423.36x = 854,432,362.08
  5. Step 5: Solve for x
    x = 854,432,362.08/36,423.36
  6. Step 6: Final answer
    x = 23,458.36

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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.