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Finding the Fourth Proportional to 34,556.90, 47,689.06 and 20,409.72

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Solution

The fourth proportional to 34,556.90, 47,689.06 and 20,409.72 is: 28,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,556.90 : 47,689.06 = 20,409.72 : x
  2. Step 2: Convert to fraction form
    34,556.90/47,689.06 = 20,409.72/x
  3. Step 3: Cross multiply
    34,556.90x = 47,689.06 × 20,409.72
  4. Step 4: Simplify right side
    34,556.90x = 973,320,361.66
  5. Step 5: Solve for x
    x = 973,320,361.66/34,556.90
  6. Step 6: Final answer
    x = 28,165.73

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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.