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Finding the Fourth Proportional to 29,425.50, 44,138.25 and 7,537.50

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Solution

The fourth proportional to 29,425.50, 44,138.25 and 7,537.50 is: 11,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.50 : 44,138.25 = 7,537.50 : x
  2. Step 2: Convert to fraction form
    29,425.50/44,138.25 = 7,537.50/x
  3. Step 3: Cross multiply
    29,425.50x = 44,138.25 × 7,537.50
  4. Step 4: Simplify right side
    29,425.50x = 332,692,059.38
  5. Step 5: Solve for x
    x = 332,692,059.38/29,425.50
  6. Step 6: Final answer
    x = 11,306.25

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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.