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Finding the Fourth Proportional to 50,582.56, 75,812.40 and 35,795.80

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Solution

The fourth proportional to 50,582.56, 75,812.40 and 35,795.80 is: 53,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.56 : 75,812.40 = 35,795.80 : x
  2. Step 2: Convert to fraction form
    50,582.56/75,812.40 = 35,795.80/x
  3. Step 3: Cross multiply
    50,582.56x = 75,812.40 × 35,795.80
  4. Step 4: Simplify right side
    50,582.56x = 2,713,765,507.92
  5. Step 5: Solve for x
    x = 2,713,765,507.92/50,582.56
  6. Step 6: Final answer
    x = 53,650.22

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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.