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Finding the Fourth Proportional to 38,564.36, 57,855.45 and 16,378.46

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Solution

The fourth proportional to 38,564.36, 57,855.45 and 16,378.46 is: 24,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.36 : 57,855.45 = 16,378.46 : x
  2. Step 2: Convert to fraction form
    38,564.36/57,855.45 = 16,378.46/x
  3. Step 3: Cross multiply
    38,564.36x = 57,855.45 × 16,378.46
  4. Step 4: Simplify right side
    38,564.36x = 947,583,173.61
  5. Step 5: Solve for x
    x = 947,583,173.61/38,564.36
  6. Step 6: Final answer
    x = 24,571.47

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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.