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Finding the Fourth Proportional to 82,762.65, 114,197.20 and 50,489.82

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Solution

The fourth proportional to 82,762.65, 114,197.20 and 50,489.82 is: 69,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.65 : 114,197.20 = 50,489.82 : x
  2. Step 2: Convert to fraction form
    82,762.65/114,197.20 = 50,489.82/x
  3. Step 3: Cross multiply
    82,762.65x = 114,197.20 × 50,489.82
  4. Step 4: Simplify right side
    82,762.65x = 5,765,795,518.04
  5. Step 5: Solve for x
    x = 5,765,795,518.04/82,762.65
  6. Step 6: Final answer
    x = 69,666.64

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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.