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Finding the Fourth Proportional to 30,296.89, 45,424.25 and 13,420.74

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Solution

The fourth proportional to 30,296.89, 45,424.25 and 13,420.74 is: 20,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.89 : 45,424.25 = 13,420.74 : x
  2. Step 2: Convert to fraction form
    30,296.89/45,424.25 = 13,420.74/x
  3. Step 3: Cross multiply
    30,296.89x = 45,424.25 × 13,420.74
  4. Step 4: Simplify right side
    30,296.89x = 609,626,754.72
  5. Step 5: Solve for x
    x = 609,626,754.72/30,296.89
  6. Step 6: Final answer
    x = 20,121.76

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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.