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Finding the Fourth Proportional to 37,418.70, 51,646.67 and 21,512.39

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Solution

The fourth proportional to 37,418.70, 51,646.67 and 21,512.39 is: 29,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,418.70 : 51,646.67 = 21,512.39 : x
  2. Step 2: Convert to fraction form
    37,418.70/51,646.67 = 21,512.39/x
  3. Step 3: Cross multiply
    37,418.70x = 51,646.67 × 21,512.39
  4. Step 4: Simplify right side
    37,418.70x = 1,111,043,307.24
  5. Step 5: Solve for x
    x = 1,111,043,307.24/37,418.70
  6. Step 6: Final answer
    x = 29,692.19

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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.