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Finding the Fourth Proportional to 74,014.08, 111,022.49 and 24,094

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Solution

The fourth proportional to 74,014.08, 111,022.49 and 24,094 is: 36,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,014.08 : 111,022.49 = 24,094 : x
  2. Step 2: Convert to fraction form
    74,014.08/111,022.49 = 24,094/x
  3. Step 3: Cross multiply
    74,014.08x = 111,022.49 × 24,094
  4. Step 4: Simplify right side
    74,014.08x = 2,674,975,874.06
  5. Step 5: Solve for x
    x = 2,674,975,874.06/74,014.08
  6. Step 6: Final answer
    x = 36,141.45

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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.