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Finding the Fourth Proportional to 57,658.40, 86,509.20 and 22,623.20

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Solution

The fourth proportional to 57,658.40, 86,509.20 and 22,623.20 is: 33,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658.40 : 86,509.20 = 22,623.20 : x
  2. Step 2: Convert to fraction form
    57,658.40/86,509.20 = 22,623.20/x
  3. Step 3: Cross multiply
    57,658.40x = 86,509.20 × 22,623.20
  4. Step 4: Simplify right side
    57,658.40x = 1,957,114,933.44
  5. Step 5: Solve for x
    x = 1,957,114,933.44/57,658.40
  6. Step 6: Final answer
    x = 33,943.28

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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.