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Finding the Fourth Proportional to 35,978.47, 49,650.50 and 20,063.93

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Solution

The fourth proportional to 35,978.47, 49,650.50 and 20,063.93 is: 27,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.47 : 49,650.50 = 20,063.93 : x
  2. Step 2: Convert to fraction form
    35,978.47/49,650.50 = 20,063.93/x
  3. Step 3: Cross multiply
    35,978.47x = 49,650.50 × 20,063.93
  4. Step 4: Simplify right side
    35,978.47x = 996,183,958.37
  5. Step 5: Solve for x
    x = 996,183,958.37/35,978.47
  6. Step 6: Final answer
    x = 27,688.34

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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.