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Finding the Fourth Proportional to 30,012.87, 45,014.67 and 10,022.70

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Solution

The fourth proportional to 30,012.87, 45,014.67 and 10,022.70 is: 15,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.87 : 45,014.67 = 10,022.70 : x
  2. Step 2: Convert to fraction form
    30,012.87/45,014.67 = 10,022.70/x
  3. Step 3: Cross multiply
    30,012.87x = 45,014.67 × 10,022.70
  4. Step 4: Simplify right side
    30,012.87x = 451,168,533.01
  5. Step 5: Solve for x
    x = 451,168,533.01/30,012.87
  6. Step 6: Final answer
    x = 15,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.