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Finding the Fourth Proportional to 48,806.12, 73,214.16 and 13,268

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Solution

The fourth proportional to 48,806.12, 73,214.16 and 13,268 is: 19,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806.12 : 73,214.16 = 13,268 : x
  2. Step 2: Convert to fraction form
    48,806.12/73,214.16 = 13,268/x
  3. Step 3: Cross multiply
    48,806.12x = 73,214.16 × 13,268
  4. Step 4: Simplify right side
    48,806.12x = 971,405,474.88
  5. Step 5: Solve for x
    x = 971,405,474.88/48,806.12
  6. Step 6: Final answer
    x = 19,903.35

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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.