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Finding the Fourth Proportional to 36,078.89, 54,118.35 and 9,783.63

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Solution

The fourth proportional to 36,078.89, 54,118.35 and 9,783.63 is: 14,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078.89 : 54,118.35 = 9,783.63 : x
  2. Step 2: Convert to fraction form
    36,078.89/54,118.35 = 9,783.63/x
  3. Step 3: Cross multiply
    36,078.89x = 54,118.35 × 9,783.63
  4. Step 4: Simplify right side
    36,078.89x = 529,473,912.61
  5. Step 5: Solve for x
    x = 529,473,912.61/36,078.89
  6. Step 6: Final answer
    x = 14,675.45

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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.