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Finding the Fourth Proportional to 53,478.05, 80,216.87 and 13,497.13

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Solution

The fourth proportional to 53,478.05, 80,216.87 and 13,497.13 is: 20,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.05 : 80,216.87 = 13,497.13 : x
  2. Step 2: Convert to fraction form
    53,478.05/80,216.87 = 13,497.13/x
  3. Step 3: Cross multiply
    53,478.05x = 80,216.87 × 13,497.13
  4. Step 4: Simplify right side
    53,478.05x = 1,082,697,254.56
  5. Step 5: Solve for x
    x = 1,082,697,254.56/53,478.05
  6. Step 6: Final answer
    x = 20,245.64

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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.