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Finding the Fourth Proportional to 35,709.54, 49,277.38 and 19,793.84

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Solution

The fourth proportional to 35,709.54, 49,277.38 and 19,793.84 is: 27,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.54 : 49,277.38 = 19,793.84 : x
  2. Step 2: Convert to fraction form
    35,709.54/49,277.38 = 19,793.84/x
  3. Step 3: Cross multiply
    35,709.54x = 49,277.38 × 19,793.84
  4. Step 4: Simplify right side
    35,709.54x = 975,388,575.34
  5. Step 5: Solve for x
    x = 975,388,575.34/35,709.54
  6. Step 6: Final answer
    x = 27,314.51

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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.