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Finding the Fourth Proportional to 53,785.60, 80,634.88 and 24,188.16

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Solution

The fourth proportional to 53,785.60, 80,634.88 and 24,188.16 is: 36,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.60 : 80,634.88 = 24,188.16 : x
  2. Step 2: Convert to fraction form
    53,785.60/80,634.88 = 24,188.16/x
  3. Step 3: Cross multiply
    53,785.60x = 80,634.88 × 24,188.16
  4. Step 4: Simplify right side
    53,785.60x = 1,950,409,379.02
  5. Step 5: Solve for x
    x = 1,950,409,379.02/53,785.60
  6. Step 6: Final answer
    x = 36,262.67

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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.