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Finding the Fourth Proportional to 30,375, 41,919.12 and 17,803.80

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Solution

The fourth proportional to 30,375, 41,919.12 and 17,803.80 is: 24,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 41,919.12 = 17,803.80 : x
  2. Step 2: Convert to fraction form
    30,375/41,919.12 = 17,803.80/x
  3. Step 3: Cross multiply
    30,375x = 41,919.12 × 17,803.80
  4. Step 4: Simplify right side
    30,375x = 746,319,628.66
  5. Step 5: Solve for x
    x = 746,319,628.66/30,375
  6. Step 6: Final answer
    x = 24,570.19

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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.