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Finding the Fourth Proportional to 30,277.12, 41,782.98 and 16,848.94

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Solution

The fourth proportional to 30,277.12, 41,782.98 and 16,848.94 is: 23,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.12 : 41,782.98 = 16,848.94 : x
  2. Step 2: Convert to fraction form
    30,277.12/41,782.98 = 16,848.94/x
  3. Step 3: Cross multiply
    30,277.12x = 41,782.98 × 16,848.94
  4. Step 4: Simplify right side
    30,277.12x = 703,998,923.04
  5. Step 5: Solve for x
    x = 703,998,923.04/30,277.12
  6. Step 6: Final answer
    x = 23,251.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.