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Finding the Fourth Proportional to 29,772.70, 44,666.49 and 11,058.07

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Solution

The fourth proportional to 29,772.70, 44,666.49 and 11,058.07 is: 16,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.70 : 44,666.49 = 11,058.07 : x
  2. Step 2: Convert to fraction form
    29,772.70/44,666.49 = 11,058.07/x
  3. Step 3: Cross multiply
    29,772.70x = 44,666.49 × 11,058.07
  4. Step 4: Simplify right side
    29,772.70x = 493,925,173.07
  5. Step 5: Solve for x
    x = 493,925,173.07/29,772.70
  6. Step 6: Final answer
    x = 16,589.87

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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.