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Finding the Fourth Proportional to 75,298.14, 112,961.64 and 35,873.82

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Solution

The fourth proportional to 75,298.14, 112,961.64 and 35,873.82 is: 53,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.14 : 112,961.64 = 35,873.82 : x
  2. Step 2: Convert to fraction form
    75,298.14/112,961.64 = 35,873.82/x
  3. Step 3: Cross multiply
    75,298.14x = 112,961.64 × 35,873.82
  4. Step 4: Simplify right side
    75,298.14x = 4,052,365,540.26
  5. Step 5: Solve for x
    x = 4,052,365,540.26/75,298.14
  6. Step 6: Final answer
    x = 53,817.60

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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.