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Finding the Fourth Proportional to 57,814.40, 86,721.60 and 16,261.40

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Solution

The fourth proportional to 57,814.40, 86,721.60 and 16,261.40 is: 24,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,814.40 : 86,721.60 = 16,261.40 : x
  2. Step 2: Convert to fraction form
    57,814.40/86,721.60 = 16,261.40/x
  3. Step 3: Cross multiply
    57,814.40x = 86,721.60 × 16,261.40
  4. Step 4: Simplify right side
    57,814.40x = 1,410,214,626.24
  5. Step 5: Solve for x
    x = 1,410,214,626.24/57,814.40
  6. Step 6: Final answer
    x = 24,392.10

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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.