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Finding the Fourth Proportional to 44,134.50, 66,201.75 and 11,302.50

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Solution

The fourth proportional to 44,134.50, 66,201.75 and 11,302.50 is: 16,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,134.50 : 66,201.75 = 11,302.50 : x
  2. Step 2: Convert to fraction form
    44,134.50/66,201.75 = 11,302.50/x
  3. Step 3: Cross multiply
    44,134.50x = 66,201.75 × 11,302.50
  4. Step 4: Simplify right side
    44,134.50x = 748,245,279.38
  5. Step 5: Solve for x
    x = 748,245,279.38/44,134.50
  6. Step 6: Final answer
    x = 16,953.75

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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.