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Finding the Fourth Proportional to 30,296.70, 45,423.97 and 13,420.55

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Solution

The fourth proportional to 30,296.70, 45,423.97 and 13,420.55 is: 20,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.70 : 45,423.97 = 13,420.55 : x
  2. Step 2: Convert to fraction form
    30,296.70/45,423.97 = 13,420.55/x
  3. Step 3: Cross multiply
    30,296.70x = 45,423.97 × 13,420.55
  4. Step 4: Simplify right side
    30,296.70x = 609,614,366.36
  5. Step 5: Solve for x
    x = 609,614,366.36/30,296.70
  6. Step 6: Final answer
    x = 20,121.48

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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.