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Finding the Fourth Proportional to 30,164.80, 45,231 and 10,437.52

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Solution

The fourth proportional to 30,164.80, 45,231 and 10,437.52 is: 15,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.80 : 45,231 = 10,437.52 : x
  2. Step 2: Convert to fraction form
    30,164.80/45,231 = 10,437.52/x
  3. Step 3: Cross multiply
    30,164.80x = 45,231 × 10,437.52
  4. Step 4: Simplify right side
    30,164.80x = 472,099,467.12
  5. Step 5: Solve for x
    x = 472,099,467.12/30,164.80
  6. Step 6: Final answer
    x = 15,650.67

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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.