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Finding the Fourth Proportional to 53,719.29, 80,578.94 and 20,431.67

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Solution

The fourth proportional to 53,719.29, 80,578.94 and 20,431.67 is: 30,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,719.29 : 80,578.94 = 20,431.67 : x
  2. Step 2: Convert to fraction form
    53,719.29/80,578.94 = 20,431.67/x
  3. Step 3: Cross multiply
    53,719.29x = 80,578.94 × 20,431.67
  4. Step 4: Simplify right side
    53,719.29x = 1,646,362,109.58
  5. Step 5: Solve for x
    x = 1,646,362,109.58/53,719.29
  6. Step 6: Final answer
    x = 30,647.50

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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.