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Finding the Fourth Proportional to 75,141.25, 103,698.17 and 41,607.25

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Solution

The fourth proportional to 75,141.25, 103,698.17 and 41,607.25 is: 57,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141.25 : 103,698.17 = 41,607.25 : x
  2. Step 2: Convert to fraction form
    75,141.25/103,698.17 = 41,607.25/x
  3. Step 3: Cross multiply
    75,141.25x = 103,698.17 × 41,607.25
  4. Step 4: Simplify right side
    75,141.25x = 4,314,595,475.70
  5. Step 5: Solve for x
    x = 4,314,595,475.70/75,141.25
  6. Step 6: Final answer
    x = 57,419.80

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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.