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Finding the Fourth Proportional to 54,755.48, 82,133.22 and 19,697.87

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Solution

The fourth proportional to 54,755.48, 82,133.22 and 19,697.87 is: 29,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,755.48 : 82,133.22 = 19,697.87 : x
  2. Step 2: Convert to fraction form
    54,755.48/82,133.22 = 19,697.87/x
  3. Step 3: Cross multiply
    54,755.48x = 82,133.22 × 19,697.87
  4. Step 4: Simplify right side
    54,755.48x = 1,617,849,079.58
  5. Step 5: Solve for x
    x = 1,617,849,079.58/54,755.48
  6. Step 6: Final answer
    x = 29,546.80

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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.