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Finding the Fourth Proportional to 30,672.60, 46,009.34 and 20,209.62

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Solution

The fourth proportional to 30,672.60, 46,009.34 and 20,209.62 is: 30,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.60 : 46,009.34 = 20,209.62 : x
  2. Step 2: Convert to fraction form
    30,672.60/46,009.34 = 20,209.62/x
  3. Step 3: Cross multiply
    30,672.60x = 46,009.34 × 20,209.62
  4. Step 4: Simplify right side
    30,672.60x = 929,831,277.85
  5. Step 5: Solve for x
    x = 929,831,277.85/30,672.60
  6. Step 6: Final answer
    x = 30,314.72

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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.