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Finding the Fourth Proportional to 30,198.48, 41,675.16 and 18,259.68

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Solution

The fourth proportional to 30,198.48, 41,675.16 and 18,259.68 is: 25,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.48 : 41,675.16 = 18,259.68 : x
  2. Step 2: Convert to fraction form
    30,198.48/41,675.16 = 18,259.68/x
  3. Step 3: Cross multiply
    30,198.48x = 41,675.16 × 18,259.68
  4. Step 4: Simplify right side
    30,198.48x = 760,975,085.55
  5. Step 5: Solve for x
    x = 760,975,085.55/30,198.48
  6. Step 6: Final answer
    x = 25,199.12

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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.