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Finding the Fourth Proportional to 56,178.46, 84,285.92 and 16,735.92

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Solution

The fourth proportional to 56,178.46, 84,285.92 and 16,735.92 is: 25,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.46 : 84,285.92 = 16,735.92 : x
  2. Step 2: Convert to fraction form
    56,178.46/84,285.92 = 16,735.92/x
  3. Step 3: Cross multiply
    56,178.46x = 84,285.92 × 16,735.92
  4. Step 4: Simplify right side
    56,178.46x = 1,410,601,909.14
  5. Step 5: Solve for x
    x = 1,410,601,909.14/56,178.46
  6. Step 6: Final answer
    x = 25,109.30

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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.