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Finding the Fourth Proportional to 30,293.09, 41,806.49 and 18,357.60

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Solution

The fourth proportional to 30,293.09, 41,806.49 and 18,357.60 is: 25,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.09 : 41,806.49 = 18,357.60 : x
  2. Step 2: Convert to fraction form
    30,293.09/41,806.49 = 18,357.60/x
  3. Step 3: Cross multiply
    30,293.09x = 41,806.49 × 18,357.60
  4. Step 4: Simplify right side
    30,293.09x = 767,466,820.82
  5. Step 5: Solve for x
    x = 767,466,820.82/30,293.09
  6. Step 6: Final answer
    x = 25,334.72

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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.