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Finding the Fourth Proportional to 53,008, 79,513.44 and 16,072

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Solution

The fourth proportional to 53,008, 79,513.44 and 16,072 is: 24,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,008 : 79,513.44 = 16,072 : x
  2. Step 2: Convert to fraction form
    53,008/79,513.44 = 16,072/x
  3. Step 3: Cross multiply
    53,008x = 79,513.44 × 16,072
  4. Step 4: Simplify right side
    53,008x = 1,277,940,007.68
  5. Step 5: Solve for x
    x = 1,277,940,007.68/53,008
  6. Step 6: Final answer
    x = 24,108.44

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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.