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Finding the Fourth Proportional to 29,750.38, 41,052.48 and 17,813.40

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Solution

The fourth proportional to 29,750.38, 41,052.48 and 17,813.40 is: 24,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.38 : 41,052.48 = 17,813.40 : x
  2. Step 2: Convert to fraction form
    29,750.38/41,052.48 = 17,813.40/x
  3. Step 3: Cross multiply
    29,750.38x = 41,052.48 × 17,813.40
  4. Step 4: Simplify right side
    29,750.38x = 731,284,247.23
  5. Step 5: Solve for x
    x = 731,284,247.23/29,750.38
  6. Step 6: Final answer
    x = 24,580.67

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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.