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Finding the Fourth Proportional to 50,698.24, 76,008.48 and 30,986.08

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Solution

The fourth proportional to 50,698.24, 76,008.48 and 30,986.08 is: 46,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.24 : 76,008.48 = 30,986.08 : x
  2. Step 2: Convert to fraction form
    50,698.24/76,008.48 = 30,986.08/x
  3. Step 3: Cross multiply
    50,698.24x = 76,008.48 × 30,986.08
  4. Step 4: Simplify right side
    50,698.24x = 2,355,204,841.96
  5. Step 5: Solve for x
    x = 2,355,204,841.96/50,698.24
  6. Step 6: Final answer
    x = 46,455.36

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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.