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Finding the Fourth Proportional to 75,953.01, 113,830.41 and 54,963.75

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Solution

The fourth proportional to 75,953.01, 113,830.41 and 54,963.75 is: 82,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953.01 : 113,830.41 = 54,963.75 : x
  2. Step 2: Convert to fraction form
    75,953.01/113,830.41 = 54,963.75/x
  3. Step 3: Cross multiply
    75,953.01x = 113,830.41 × 54,963.75
  4. Step 4: Simplify right side
    75,953.01x = 6,256,546,197.64
  5. Step 5: Solve for x
    x = 6,256,546,197.64/75,953.01
  6. Step 6: Final answer
    x = 82,373.91

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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.