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Finding the Fourth Proportional to 55,474.92, 83,200.12 and 16,023.44

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Solution

The fourth proportional to 55,474.92, 83,200.12 and 16,023.44 is: 24,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474.92 : 83,200.12 = 16,023.44 : x
  2. Step 2: Convert to fraction form
    55,474.92/83,200.12 = 16,023.44/x
  3. Step 3: Cross multiply
    55,474.92x = 83,200.12 × 16,023.44
  4. Step 4: Simplify right side
    55,474.92x = 1,333,152,130.81
  5. Step 5: Solve for x
    x = 1,333,152,130.81/55,474.92
  6. Step 6: Final answer
    x = 24,031.62

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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.