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Finding the Fourth Proportional to 30,011.37, 45,019.25 and 10,289.76

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Solution

The fourth proportional to 30,011.37, 45,019.25 and 10,289.76 is: 15,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.37 : 45,019.25 = 10,289.76 : x
  2. Step 2: Convert to fraction form
    30,011.37/45,019.25 = 10,289.76/x
  3. Step 3: Cross multiply
    30,011.37x = 45,019.25 × 10,289.76
  4. Step 4: Simplify right side
    30,011.37x = 463,237,277.88
  5. Step 5: Solve for x
    x = 463,237,277.88/30,011.37
  6. Step 6: Final answer
    x = 15,435.39

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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.