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Finding the Fourth Proportional to 36,078.40, 54,117.60 and 9,783.12

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Solution

The fourth proportional to 36,078.40, 54,117.60 and 9,783.12 is: 14,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078.40 : 54,117.60 = 9,783.12 : x
  2. Step 2: Convert to fraction form
    36,078.40/54,117.60 = 9,783.12/x
  3. Step 3: Cross multiply
    36,078.40x = 54,117.60 × 9,783.12
  4. Step 4: Simplify right side
    36,078.40x = 529,438,974.91
  5. Step 5: Solve for x
    x = 529,438,974.91/36,078.40
  6. Step 6: Final answer
    x = 14,674.68

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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.