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Finding the Fourth Proportional to 30,197.40, 45,296.10 and 18,970.80

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Solution

The fourth proportional to 30,197.40, 45,296.10 and 18,970.80 is: 28,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.40 : 45,296.10 = 18,970.80 : x
  2. Step 2: Convert to fraction form
    30,197.40/45,296.10 = 18,970.80/x
  3. Step 3: Cross multiply
    30,197.40x = 45,296.10 × 18,970.80
  4. Step 4: Simplify right side
    30,197.40x = 859,303,253.88
  5. Step 5: Solve for x
    x = 859,303,253.88/30,197.40
  6. Step 6: Final answer
    x = 28,456.20

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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.