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Finding the Fourth Proportional to 30,416.68, 41,975.22 and 17,841.52

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Solution

The fourth proportional to 30,416.68, 41,975.22 and 17,841.52 is: 24,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.68 : 41,975.22 = 17,841.52 : x
  2. Step 2: Convert to fraction form
    30,416.68/41,975.22 = 17,841.52/x
  3. Step 3: Cross multiply
    30,416.68x = 41,975.22 × 17,841.52
  4. Step 4: Simplify right side
    30,416.68x = 748,901,727.13
  5. Step 5: Solve for x
    x = 748,901,727.13/30,416.68
  6. Step 6: Final answer
    x = 24,621.42

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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.