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Finding the Fourth Proportional to 74,120.65, 111,201.76 and 29,778.54

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Solution

The fourth proportional to 74,120.65, 111,201.76 and 29,778.54 is: 44,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,120.65 : 111,201.76 = 29,778.54 : x
  2. Step 2: Convert to fraction form
    74,120.65/111,201.76 = 29,778.54/x
  3. Step 3: Cross multiply
    74,120.65x = 111,201.76 × 29,778.54
  4. Step 4: Simplify right side
    74,120.65x = 3,311,426,058.23
  5. Step 5: Solve for x
    x = 3,311,426,058.23/74,120.65
  6. Step 6: Final answer
    x = 44,676.16

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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.