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Finding the Fourth Proportional to 36,852, 50,853.12 and 20,933.76

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Solution

The fourth proportional to 36,852, 50,853.12 and 20,933.76 is: 28,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852 : 50,853.12 = 20,933.76 : x
  2. Step 2: Convert to fraction form
    36,852/50,853.12 = 20,933.76/x
  3. Step 3: Cross multiply
    36,852x = 50,853.12 × 20,933.76
  4. Step 4: Simplify right side
    36,852x = 1,064,547,009.33
  5. Step 5: Solve for x
    x = 1,064,547,009.33/36,852
  6. Step 6: Final answer
    x = 28,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.