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Finding the Fourth Proportional to 35,163, 52,745.16 and 16,437.90

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Solution

The fourth proportional to 35,163, 52,745.16 and 16,437.90 is: 24,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,163 : 52,745.16 = 16,437.90 : x
  2. Step 2: Convert to fraction form
    35,163/52,745.16 = 16,437.90/x
  3. Step 3: Cross multiply
    35,163x = 52,745.16 × 16,437.90
  4. Step 4: Simplify right side
    35,163x = 867,019,665.56
  5. Step 5: Solve for x
    x = 867,019,665.56/35,163
  6. Step 6: Final answer
    x = 24,657.16

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Why These Related Problems?

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