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Finding the Fourth Proportional to 37,684.88, 52,005.94 and 20,689.82

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Solution

The fourth proportional to 37,684.88, 52,005.94 and 20,689.82 is: 28,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.88 : 52,005.94 = 20,689.82 : x
  2. Step 2: Convert to fraction form
    37,684.88/52,005.94 = 20,689.82/x
  3. Step 3: Cross multiply
    37,684.88x = 52,005.94 × 20,689.82
  4. Step 4: Simplify right side
    37,684.88x = 1,075,993,537.53
  5. Step 5: Solve for x
    x = 1,075,993,537.53/37,684.88
  6. Step 6: Final answer
    x = 28,552.39

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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.