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Finding the Fourth Proportional to 30,200.40, 45,311.40 and 12,675.60

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Solution

The fourth proportional to 30,200.40, 45,311.40 and 12,675.60 is: 19,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.40 : 45,311.40 = 12,675.60 : x
  2. Step 2: Convert to fraction form
    30,200.40/45,311.40 = 12,675.60/x
  3. Step 3: Cross multiply
    30,200.40x = 45,311.40 × 12,675.60
  4. Step 4: Simplify right side
    30,200.40x = 574,349,181.84
  5. Step 5: Solve for x
    x = 574,349,181.84/30,200.40
  6. Step 6: Final answer
    x = 19,017.93

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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.