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Finding the Fourth Proportional to 20,031.04, 30,046.88 and 6,180

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Solution

The fourth proportional to 20,031.04, 30,046.88 and 6,180 is: 9,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.04 : 30,046.88 = 6,180 : x
  2. Step 2: Convert to fraction form
    20,031.04/30,046.88 = 6,180/x
  3. Step 3: Cross multiply
    20,031.04x = 30,046.88 × 6,180
  4. Step 4: Simplify right side
    20,031.04x = 185,689,718.40
  5. Step 5: Solve for x
    x = 185,689,718.40/20,031.04
  6. Step 6: Final answer
    x = 9,270.10

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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.