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Finding the Fourth Proportional to 37,775.30, 52,131.35 and 20,780.87

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Solution

The fourth proportional to 37,775.30, 52,131.35 and 20,780.87 is: 28,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,775.30 : 52,131.35 = 20,780.87 : x
  2. Step 2: Convert to fraction form
    37,775.30/52,131.35 = 20,780.87/x
  3. Step 3: Cross multiply
    37,775.30x = 52,131.35 × 20,780.87
  4. Step 4: Simplify right side
    37,775.30x = 1,083,334,703.37
  5. Step 5: Solve for x
    x = 1,083,334,703.37/37,775.30
  6. Step 6: Final answer
    x = 28,678.39

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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.