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Finding the Fourth Proportional to 32,950, 49,301 and 23,108.48

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Solution

The fourth proportional to 32,950, 49,301 and 23,108.48 is: 34,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950 : 49,301 = 23,108.48 : x
  2. Step 2: Convert to fraction form
    32,950/49,301 = 23,108.48/x
  3. Step 3: Cross multiply
    32,950x = 49,301 × 23,108.48
  4. Step 4: Simplify right side
    32,950x = 1,139,271,172.48
  5. Step 5: Solve for x
    x = 1,139,271,172.48/32,950
  6. Step 6: Final answer
    x = 34,575.76

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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.