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Finding the Fourth Proportional to 38,156.08, 57,188.04 and 16,222

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Solution

The fourth proportional to 38,156.08, 57,188.04 and 16,222 is: 24,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,156.08 : 57,188.04 = 16,222 : x
  2. Step 2: Convert to fraction form
    38,156.08/57,188.04 = 16,222/x
  3. Step 3: Cross multiply
    38,156.08x = 57,188.04 × 16,222
  4. Step 4: Simplify right side
    38,156.08x = 927,704,384.88
  5. Step 5: Solve for x
    x = 927,704,384.88/38,156.08
  6. Step 6: Final answer
    x = 24,313.41

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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.