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Finding the Fourth Proportional to 37,278, 51,444 and 20,511.36

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Solution

The fourth proportional to 37,278, 51,444 and 20,511.36 is: 28,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,278 : 51,444 = 20,511.36 : x
  2. Step 2: Convert to fraction form
    37,278/51,444 = 20,511.36/x
  3. Step 3: Cross multiply
    37,278x = 51,444 × 20,511.36
  4. Step 4: Simplify right side
    37,278x = 1,055,186,403.84
  5. Step 5: Solve for x
    x = 1,055,186,403.84/37,278
  6. Step 6: Final answer
    x = 28,305.87

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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.