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Finding the Fourth Proportional to 53,906.50, 80,857.86 and 16,465.06

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Solution

The fourth proportional to 53,906.50, 80,857.86 and 16,465.06 is: 24,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.50 : 80,857.86 = 16,465.06 : x
  2. Step 2: Convert to fraction form
    53,906.50/80,857.86 = 16,465.06/x
  3. Step 3: Cross multiply
    53,906.50x = 80,857.86 × 16,465.06
  4. Step 4: Simplify right side
    53,906.50x = 1,331,329,516.37
  5. Step 5: Solve for x
    x = 1,331,329,516.37/53,906.50
  6. Step 6: Final answer
    x = 24,697.01

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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.