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Finding the Fourth Proportional to 29,750.96, 44,626.34 and 7,564.66

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Solution

The fourth proportional to 29,750.96, 44,626.34 and 7,564.66 is: 11,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.96 : 44,626.34 = 7,564.66 : x
  2. Step 2: Convert to fraction form
    29,750.96/44,626.34 = 7,564.66/x
  3. Step 3: Cross multiply
    29,750.96x = 44,626.34 × 7,564.66
  4. Step 4: Simplify right side
    29,750.96x = 337,582,996.49
  5. Step 5: Solve for x
    x = 337,582,996.49/29,750.96
  6. Step 6: Final answer
    x = 11,346.96

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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.