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Finding the Fourth Proportional to 48,284.92, 72,427.44 and 13,224.88

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Solution

The fourth proportional to 48,284.92, 72,427.44 and 13,224.88 is: 19,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.92 : 72,427.44 = 13,224.88 : x
  2. Step 2: Convert to fraction form
    48,284.92/72,427.44 = 13,224.88/x
  3. Step 3: Cross multiply
    48,284.92x = 72,427.44 × 13,224.88
  4. Step 4: Simplify right side
    48,284.92x = 957,844,202.71
  5. Step 5: Solve for x
    x = 957,844,202.71/48,284.92
  6. Step 6: Final answer
    x = 19,837.34

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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.