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Finding the Fourth Proportional to 53,093.96, 79,652.46 and 16,157

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Solution

The fourth proportional to 53,093.96, 79,652.46 and 16,157 is: 24,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,093.96 : 79,652.46 = 16,157 : x
  2. Step 2: Convert to fraction form
    53,093.96/79,652.46 = 16,157/x
  3. Step 3: Cross multiply
    53,093.96x = 79,652.46 × 16,157
  4. Step 4: Simplify right side
    53,093.96x = 1,286,944,796.22
  5. Step 5: Solve for x
    x = 1,286,944,796.22/53,093.96
  6. Step 6: Final answer
    x = 24,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.