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Finding the Fourth Proportional to 50,769.81, 76,203.93 and 24,493.01

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Solution

The fourth proportional to 50,769.81, 76,203.93 and 24,493.01 is: 36,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769.81 : 76,203.93 = 24,493.01 : x
  2. Step 2: Convert to fraction form
    50,769.81/76,203.93 = 24,493.01/x
  3. Step 3: Cross multiply
    50,769.81x = 76,203.93 × 24,493.01
  4. Step 4: Simplify right side
    50,769.81x = 1,866,463,238.51
  5. Step 5: Solve for x
    x = 1,866,463,238.51/50,769.81
  6. Step 6: Final answer
    x = 36,763.25

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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.