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Finding the Fourth Proportional to 30,189.20, 45,291.81 and 10,467.72

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Solution

The fourth proportional to 30,189.20, 45,291.81 and 10,467.72 is: 15,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.20 : 45,291.81 = 10,467.72 : x
  2. Step 2: Convert to fraction form
    30,189.20/45,291.81 = 10,467.72/x
  3. Step 3: Cross multiply
    30,189.20x = 45,291.81 × 10,467.72
  4. Step 4: Simplify right side
    30,189.20x = 474,101,985.37
  5. Step 5: Solve for x
    x = 474,101,985.37/30,189.20
  6. Step 6: Final answer
    x = 15,704.36

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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.