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Finding the Fourth Proportional to 53,951.56, 74,456.40 and 30,078.16

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Solution

The fourth proportional to 53,951.56, 74,456.40 and 30,078.16 is: 41,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,951.56 : 74,456.40 = 30,078.16 : x
  2. Step 2: Convert to fraction form
    53,951.56/74,456.40 = 30,078.16/x
  3. Step 3: Cross multiply
    53,951.56x = 74,456.40 × 30,078.16
  4. Step 4: Simplify right side
    53,951.56x = 2,239,511,512.22
  5. Step 5: Solve for x
    x = 2,239,511,512.22/53,951.56
  6. Step 6: Final answer
    x = 41,509.67

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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.