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Finding the Fourth Proportional to 30,762.75, 42,452.73 and 17,844.57

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Solution

The fourth proportional to 30,762.75, 42,452.73 and 17,844.57 is: 24,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.75 : 42,452.73 = 17,844.57 : x
  2. Step 2: Convert to fraction form
    30,762.75/42,452.73 = 17,844.57/x
  3. Step 3: Cross multiply
    30,762.75x = 42,452.73 × 17,844.57
  4. Step 4: Simplify right side
    30,762.75x = 757,550,712.18
  5. Step 5: Solve for x
    x = 757,550,712.18/30,762.75
  6. Step 6: Final answer
    x = 24,625.58

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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.