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Finding the Fourth Proportional to 34,802.26, 48,024.47 and 20,462.68

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Solution

The fourth proportional to 34,802.26, 48,024.47 and 20,462.68 is: 28,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.26 : 48,024.47 = 20,462.68 : x
  2. Step 2: Convert to fraction form
    34,802.26/48,024.47 = 20,462.68/x
  3. Step 3: Cross multiply
    34,802.26x = 48,024.47 × 20,462.68
  4. Step 4: Simplify right side
    34,802.26x = 982,709,361.78
  5. Step 5: Solve for x
    x = 982,709,361.78/34,802.26
  6. Step 6: Final answer
    x = 28,236.94

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Why These Related Problems?

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