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Finding the Fourth Proportional to 55,655.70, 83,483.82 and 16,213.02

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Solution

The fourth proportional to 55,655.70, 83,483.82 and 16,213.02 is: 24,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,655.70 : 83,483.82 = 16,213.02 : x
  2. Step 2: Convert to fraction form
    55,655.70/83,483.82 = 16,213.02/x
  3. Step 3: Cross multiply
    55,655.70x = 83,483.82 × 16,213.02
  4. Step 4: Simplify right side
    55,655.70x = 1,353,524,843.34
  5. Step 5: Solve for x
    x = 1,353,524,843.34/55,655.70
  6. Step 6: Final answer
    x = 24,319.61

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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.