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Finding the Fourth Proportional to 74,971.89, 112,489.10 and 32,882.22

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Solution

The fourth proportional to 74,971.89, 112,489.10 and 32,882.22 is: 49,337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,971.89 : 112,489.10 = 32,882.22 : x
  2. Step 2: Convert to fraction form
    74,971.89/112,489.10 = 32,882.22/x
  3. Step 3: Cross multiply
    74,971.89x = 112,489.10 × 32,882.22
  4. Step 4: Simplify right side
    74,971.89x = 3,698,890,606.95
  5. Step 5: Solve for x
    x = 3,698,890,606.95/74,971.89
  6. Step 6: Final answer
    x = 49,337.03

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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.