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Finding the Fourth Proportional to 35,303.25, 48,729.42 and 22,728

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Solution

The fourth proportional to 35,303.25, 48,729.42 and 22,728 is: 31,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,303.25 : 48,729.42 = 22,728 : x
  2. Step 2: Convert to fraction form
    35,303.25/48,729.42 = 22,728/x
  3. Step 3: Cross multiply
    35,303.25x = 48,729.42 × 22,728
  4. Step 4: Simplify right side
    35,303.25x = 1,107,522,257.76
  5. Step 5: Solve for x
    x = 1,107,522,257.76/35,303.25
  6. Step 6: Final answer
    x = 31,371.68

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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.