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Finding the Fourth Proportional to 57,984.74, 86,977.91 and 16,431.74

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Solution

The fourth proportional to 57,984.74, 86,977.91 and 16,431.74 is: 24,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984.74 : 86,977.91 = 16,431.74 : x
  2. Step 2: Convert to fraction form
    57,984.74/86,977.91 = 16,431.74/x
  3. Step 3: Cross multiply
    57,984.74x = 86,977.91 × 16,431.74
  4. Step 4: Simplify right side
    57,984.74x = 1,429,198,009.05
  5. Step 5: Solve for x
    x = 1,429,198,009.05/57,984.74
  6. Step 6: Final answer
    x = 24,647.83

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1.5x scale

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.