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Finding the Fourth Proportional to 30,126.87, 45,211.17 and 10,405.59

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Solution

The fourth proportional to 30,126.87, 45,211.17 and 10,405.59 is: 15,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.87 : 45,211.17 = 10,405.59 : x
  2. Step 2: Convert to fraction form
    30,126.87/45,211.17 = 10,405.59/x
  3. Step 3: Cross multiply
    30,126.87x = 45,211.17 × 10,405.59
  4. Step 4: Simplify right side
    30,126.87x = 470,448,898.44
  5. Step 5: Solve for x
    x = 470,448,898.44/30,126.87
  6. Step 6: Final answer
    x = 15,615.59

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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.