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Finding the Fourth Proportional to 30,617.60, 45,877.80 and 20,217.20

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Solution

The fourth proportional to 30,617.60, 45,877.80 and 20,217.20 is: 30,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.60 : 45,877.80 = 20,217.20 : x
  2. Step 2: Convert to fraction form
    30,617.60/45,877.80 = 20,217.20/x
  3. Step 3: Cross multiply
    30,617.60x = 45,877.80 × 20,217.20
  4. Step 4: Simplify right side
    30,617.60x = 927,520,658.16
  5. Step 5: Solve for x
    x = 927,520,658.16/30,617.60
  6. Step 6: Final answer
    x = 30,293.71

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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.