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Finding the Fourth Proportional to 53,851.20, 80,779.84 and 16,412.50

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Solution

The fourth proportional to 53,851.20, 80,779.84 and 16,412.50 is: 24,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.20 : 80,779.84 = 16,412.50 : x
  2. Step 2: Convert to fraction form
    53,851.20/80,779.84 = 16,412.50/x
  3. Step 3: Cross multiply
    53,851.20x = 80,779.84 × 16,412.50
  4. Step 4: Simplify right side
    53,851.20x = 1,325,799,072.15
  5. Step 5: Solve for x
    x = 1,325,799,072.15/53,851.20
  6. Step 6: Final answer
    x = 24,619.67

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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.