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Finding the Fourth Proportional to 109,641.56, 164,472.64 and 30,755.44

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Solution

The fourth proportional to 109,641.56, 164,472.64 and 30,755.44 is: 46,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,641.56 : 164,472.64 = 30,755.44 : x
  2. Step 2: Convert to fraction form
    109,641.56/164,472.64 = 30,755.44/x
  3. Step 3: Cross multiply
    109,641.56x = 164,472.64 × 30,755.44
  4. Step 4: Simplify right side
    109,641.56x = 5,058,428,411.16
  5. Step 5: Solve for x
    x = 5,058,428,411.16/109,641.56
  6. Step 6: Final answer
    x = 46,136.05

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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.