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Finding the Fourth Proportional to 31,920.89, 44,050.91 and 17,580.38

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Solution

The fourth proportional to 31,920.89, 44,050.91 and 17,580.38 is: 24,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.89 : 44,050.91 = 17,580.38 : x
  2. Step 2: Convert to fraction form
    31,920.89/44,050.91 = 17,580.38/x
  3. Step 3: Cross multiply
    31,920.89x = 44,050.91 × 17,580.38
  4. Step 4: Simplify right side
    31,920.89x = 774,431,428.99
  5. Step 5: Solve for x
    x = 774,431,428.99/31,920.89
  6. Step 6: Final answer
    x = 24,260.96

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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.