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Finding the Fourth Proportional to 58,242, 80,380.44 and 35,886

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Solution

The fourth proportional to 58,242, 80,380.44 and 35,886 is: 49,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,242 : 80,380.44 = 35,886 : x
  2. Step 2: Convert to fraction form
    58,242/80,380.44 = 35,886/x
  3. Step 3: Cross multiply
    58,242x = 80,380.44 × 35,886
  4. Step 4: Simplify right side
    58,242x = 2,884,532,469.84
  5. Step 5: Solve for x
    x = 2,884,532,469.84/58,242
  6. Step 6: Final answer
    x = 49,526.67

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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.