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Finding the Fourth Proportional to 89,887.64, 124,022.79 and 54,953.46

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Solution

The fourth proportional to 89,887.64, 124,022.79 and 54,953.46 is: 75,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,887.64 : 124,022.79 = 54,953.46 : x
  2. Step 2: Convert to fraction form
    89,887.64/124,022.79 = 54,953.46/x
  3. Step 3: Cross multiply
    89,887.64x = 124,022.79 × 54,953.46
  4. Step 4: Simplify right side
    89,887.64x = 6,815,481,429.35
  5. Step 5: Solve for x
    x = 6,815,481,429.35/89,887.64
  6. Step 6: Final answer
    x = 75,822.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.