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Finding the Fourth Proportional to 74,078.52, 111,094.72 and 24,819

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Solution

The fourth proportional to 74,078.52, 111,094.72 and 24,819 is: 37,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078.52 : 111,094.72 = 24,819 : x
  2. Step 2: Convert to fraction form
    74,078.52/111,094.72 = 24,819/x
  3. Step 3: Cross multiply
    74,078.52x = 111,094.72 × 24,819
  4. Step 4: Simplify right side
    74,078.52x = 2,757,259,855.68
  5. Step 5: Solve for x
    x = 2,757,259,855.68/74,078.52
  6. Step 6: Final answer
    x = 37,220.77

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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.