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Finding the Fourth Proportional to 107,841.81, 161,762.69 and 32,962.17

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Solution

The fourth proportional to 107,841.81, 161,762.69 and 32,962.17 is: 49,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,841.81 : 161,762.69 = 32,962.17 : x
  2. Step 2: Convert to fraction form
    107,841.81/161,762.69 = 32,962.17/x
  3. Step 3: Cross multiply
    107,841.81x = 161,762.69 × 32,962.17
  4. Step 4: Simplify right side
    107,841.81x = 5,332,049,122.63
  5. Step 5: Solve for x
    x = 5,332,049,122.63/107,841.81
  6. Step 6: Final answer
    x = 49,443.25

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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.