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Finding the Fourth Proportional to 75,896, 113,719.20 and 53,600.96

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Solution

The fourth proportional to 75,896, 113,719.20 and 53,600.96 is: 80,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896 : 113,719.20 = 53,600.96 : x
  2. Step 2: Convert to fraction form
    75,896/113,719.20 = 53,600.96/x
  3. Step 3: Cross multiply
    75,896x = 113,719.20 × 53,600.96
  4. Step 4: Simplify right side
    75,896x = 6,095,458,290.43
  5. Step 5: Solve for x
    x = 6,095,458,290.43/75,896
  6. Step 6: Final answer
    x = 80,313.30

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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.