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Finding the Fourth Proportional to 36,038.16, 54,057.24 and 16,316.28

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Solution

The fourth proportional to 36,038.16, 54,057.24 and 16,316.28 is: 24,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.16 : 54,057.24 = 16,316.28 : x
  2. Step 2: Convert to fraction form
    36,038.16/54,057.24 = 16,316.28/x
  3. Step 3: Cross multiply
    36,038.16x = 54,057.24 × 16,316.28
  4. Step 4: Simplify right side
    36,038.16x = 882,013,063.87
  5. Step 5: Solve for x
    x = 882,013,063.87/36,038.16
  6. Step 6: Final answer
    x = 24,474.42

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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.