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Finding the Fourth Proportional to 107,765.84, 161,673.87 and 32,885.83

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Solution

The fourth proportional to 107,765.84, 161,673.87 and 32,885.83 is: 49,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,765.84 : 161,673.87 = 32,885.83 : x
  2. Step 2: Convert to fraction form
    107,765.84/161,673.87 = 32,885.83/x
  3. Step 3: Cross multiply
    107,765.84x = 161,673.87 × 32,885.83
  4. Step 4: Simplify right side
    107,765.84x = 5,316,779,729.68
  5. Step 5: Solve for x
    x = 5,316,779,729.68/107,765.84
  6. Step 6: Final answer
    x = 49,336.41

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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.