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Finding the Fourth Proportional to 37,567, 56,369.94 and 19,099

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Solution

The fourth proportional to 37,567, 56,369.94 and 19,099 is: 28,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,567 : 56,369.94 = 19,099 : x
  2. Step 2: Convert to fraction form
    37,567/56,369.94 = 19,099/x
  3. Step 3: Cross multiply
    37,567x = 56,369.94 × 19,099
  4. Step 4: Simplify right side
    37,567x = 1,076,609,484.06
  5. Step 5: Solve for x
    x = 1,076,609,484.06/37,567
  6. Step 6: Final answer
    x = 28,658.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.