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Finding the Fourth Proportional to 50,698.74, 76,009.23 and 30,986.58

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Solution

The fourth proportional to 50,698.74, 76,009.23 and 30,986.58 is: 46,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.74 : 76,009.23 = 30,986.58 : x
  2. Step 2: Convert to fraction form
    50,698.74/76,009.23 = 30,986.58/x
  3. Step 3: Cross multiply
    50,698.74x = 76,009.23 × 30,986.58
  4. Step 4: Simplify right side
    50,698.74x = 2,355,266,086.13
  5. Step 5: Solve for x
    x = 2,355,266,086.13/50,698.74
  6. Step 6: Final answer
    x = 46,456.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.