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Finding the Fourth Proportional to 36,975.14, 51,026.07 and 20,208.14

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Solution

The fourth proportional to 36,975.14, 51,026.07 and 20,208.14 is: 27,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975.14 : 51,026.07 = 20,208.14 : x
  2. Step 2: Convert to fraction form
    36,975.14/51,026.07 = 20,208.14/x
  3. Step 3: Cross multiply
    36,975.14x = 51,026.07 × 20,208.14
  4. Step 4: Simplify right side
    36,975.14x = 1,031,141,966.21
  5. Step 5: Solve for x
    x = 1,031,141,966.21/36,975.14
  6. Step 6: Final answer
    x = 27,887.44

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