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Finding the Fourth Proportional to 50,419.46, 69,600.38 and 35,893.01

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Solution

The fourth proportional to 50,419.46, 69,600.38 and 35,893.01 is: 49,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.46 : 69,600.38 = 35,893.01 : x
  2. Step 2: Convert to fraction form
    50,419.46/69,600.38 = 35,893.01/x
  3. Step 3: Cross multiply
    50,419.46x = 69,600.38 × 35,893.01
  4. Step 4: Simplify right side
    50,419.46x = 2,498,167,129.88
  5. Step 5: Solve for x
    x = 2,498,167,129.88/50,419.46
  6. Step 6: Final answer
    x = 49,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.