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Finding the Fourth Proportional to 75,368.70, 112,974.37 and 25,431.59

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Solution

The fourth proportional to 75,368.70, 112,974.37 and 25,431.59 is: 38,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368.70 : 112,974.37 = 25,431.59 : x
  2. Step 2: Convert to fraction form
    75,368.70/112,974.37 = 25,431.59/x
  3. Step 3: Cross multiply
    75,368.70x = 112,974.37 × 25,431.59
  4. Step 4: Simplify right side
    75,368.70x = 2,873,118,077.21
  5. Step 5: Solve for x
    x = 2,873,118,077.21/75,368.70
  6. Step 6: Final answer
    x = 38,120.84

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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.