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Finding the Fourth Proportional to 57,846.80, 86,597.40 and 34,461.20

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Solution

The fourth proportional to 57,846.80, 86,597.40 and 34,461.20 is: 51,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.80 : 86,597.40 = 34,461.20 : x
  2. Step 2: Convert to fraction form
    57,846.80/86,597.40 = 34,461.20/x
  3. Step 3: Cross multiply
    57,846.80x = 86,597.40 × 34,461.20
  4. Step 4: Simplify right side
    57,846.80x = 2,984,250,320.88
  5. Step 5: Solve for x
    x = 2,984,250,320.88/57,846.80
  6. Step 6: Final answer
    x = 51,588.86

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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.