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Finding the Fourth Proportional to 43,658.48, 65,494.20 and 15,950

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Solution

The fourth proportional to 43,658.48, 65,494.20 and 15,950 is: 23,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,658.48 : 65,494.20 = 15,950 : x
  2. Step 2: Convert to fraction form
    43,658.48/65,494.20 = 15,950/x
  3. Step 3: Cross multiply
    43,658.48x = 65,494.20 × 15,950
  4. Step 4: Simplify right side
    43,658.48x = 1,044,632,490
  5. Step 5: Solve for x
    x = 1,044,632,490/43,658.48
  6. Step 6: Final answer
    x = 23,927.37

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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.