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Finding the Fourth Proportional to 30,591.56, 42,216.46 and 17,853.50

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Solution

The fourth proportional to 30,591.56, 42,216.46 and 17,853.50 is: 24,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.56 : 42,216.46 = 17,853.50 : x
  2. Step 2: Convert to fraction form
    30,591.56/42,216.46 = 17,853.50/x
  3. Step 3: Cross multiply
    30,591.56x = 42,216.46 × 17,853.50
  4. Step 4: Simplify right side
    30,591.56x = 753,711,629.52
  5. Step 5: Solve for x
    x = 753,711,629.52/30,591.56
  6. Step 6: Final answer
    x = 24,637.89

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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.