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Finding the Fourth Proportional to 107,762.45, 161,668.81 and 32,882.46

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Solution

The fourth proportional to 107,762.45, 161,668.81 and 32,882.46 is: 49,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,762.45 : 161,668.81 = 32,882.46 : x
  2. Step 2: Convert to fraction form
    107,762.45/161,668.81 = 32,882.46/x
  3. Step 3: Cross multiply
    107,762.45x = 161,668.81 × 32,882.46
  4. Step 4: Simplify right side
    107,762.45x = 5,316,067,612.92
  5. Step 5: Solve for x
    x = 5,316,067,612.92/107,762.45
  6. Step 6: Final answer
    x = 49,331.35

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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.