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Finding the Fourth Proportional to 29,757.42, 44,635.92 and 7,570.50

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Solution

The fourth proportional to 29,757.42, 44,635.92 and 7,570.50 is: 11,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.42 : 44,635.92 = 7,570.50 : x
  2. Step 2: Convert to fraction form
    29,757.42/44,635.92 = 7,570.50/x
  3. Step 3: Cross multiply
    29,757.42x = 44,635.92 × 7,570.50
  4. Step 4: Simplify right side
    29,757.42x = 337,916,232.36
  5. Step 5: Solve for x
    x = 337,916,232.36/29,757.42
  6. Step 6: Final answer
    x = 11,355.70

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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.