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Finding the Fourth Proportional to 37,977.30, 52,407.93 and 20,981.73

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Solution

The fourth proportional to 37,977.30, 52,407.93 and 20,981.73 is: 28,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,977.30 : 52,407.93 = 20,981.73 : x
  2. Step 2: Convert to fraction form
    37,977.30/52,407.93 = 20,981.73/x
  3. Step 3: Cross multiply
    37,977.30x = 52,407.93 × 20,981.73
  4. Step 4: Simplify right side
    37,977.30x = 1,099,609,037.12
  5. Step 5: Solve for x
    x = 1,099,609,037.12/37,977.30
  6. Step 6: Final answer
    x = 28,954.38

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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.