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Finding the Fourth Proportional to 53,009, 79,514.94 and 16,073

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Solution

The fourth proportional to 53,009, 79,514.94 and 16,073 is: 24,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,009 : 79,514.94 = 16,073 : x
  2. Step 2: Convert to fraction form
    53,009/79,514.94 = 16,073/x
  3. Step 3: Cross multiply
    53,009x = 79,514.94 × 16,073
  4. Step 4: Simplify right side
    53,009x = 1,278,043,630.62
  5. Step 5: Solve for x
    x = 1,278,043,630.62/53,009
  6. Step 6: Final answer
    x = 24,109.94

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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.