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Finding the Fourth Proportional to 29,950.74, 41,289.08 and 23,566.32

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Solution

The fourth proportional to 29,950.74, 41,289.08 and 23,566.32 is: 32,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950.74 : 41,289.08 = 23,566.32 : x
  2. Step 2: Convert to fraction form
    29,950.74/41,289.08 = 23,566.32/x
  3. Step 3: Cross multiply
    29,950.74x = 41,289.08 × 23,566.32
  4. Step 4: Simplify right side
    29,950.74x = 973,031,553.95
  5. Step 5: Solve for x
    x = 973,031,553.95/29,950.74
  6. Step 6: Final answer
    x = 32,487.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.