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Finding the Fourth Proportional to 20,031.12, 30,048.24 and 6,180

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Solution

The fourth proportional to 20,031.12, 30,048.24 and 6,180 is: 9,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.12 : 30,048.24 = 6,180 : x
  2. Step 2: Convert to fraction form
    20,031.12/30,048.24 = 6,180/x
  3. Step 3: Cross multiply
    20,031.12x = 30,048.24 × 6,180
  4. Step 4: Simplify right side
    20,031.12x = 185,698,123.20
  5. Step 5: Solve for x
    x = 185,698,123.20/20,031.12
  6. Step 6: Final answer
    x = 9,270.48

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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.