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Finding the Fourth Proportional to 48,302.10, 72,453.15 and 20,217.30

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Solution

The fourth proportional to 48,302.10, 72,453.15 and 20,217.30 is: 30,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,302.10 : 72,453.15 = 20,217.30 : x
  2. Step 2: Convert to fraction form
    48,302.10/72,453.15 = 20,217.30/x
  3. Step 3: Cross multiply
    48,302.10x = 72,453.15 × 20,217.30
  4. Step 4: Simplify right side
    48,302.10x = 1,464,807,069.50
  5. Step 5: Solve for x
    x = 1,464,807,069.50/48,302.10
  6. Step 6: Final answer
    x = 30,325.95

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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.