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Finding the Fourth Proportional to 30,926.44, 42,678.48 and 17,497.42

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Solution

The fourth proportional to 30,926.44, 42,678.48 and 17,497.42 is: 24,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.44 : 42,678.48 = 17,497.42 : x
  2. Step 2: Convert to fraction form
    30,926.44/42,678.48 = 17,497.42/x
  3. Step 3: Cross multiply
    30,926.44x = 42,678.48 × 17,497.42
  4. Step 4: Simplify right side
    30,926.44x = 746,763,289.52
  5. Step 5: Solve for x
    x = 746,763,289.52/30,926.44
  6. Step 6: Final answer
    x = 24,146.44

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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.