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Finding the Fourth Proportional to 75,734.84, 104,514.36 and 42,200.84

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Solution

The fourth proportional to 75,734.84, 104,514.36 and 42,200.84 is: 58,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,734.84 : 104,514.36 = 42,200.84 : x
  2. Step 2: Convert to fraction form
    75,734.84/104,514.36 = 42,200.84/x
  3. Step 3: Cross multiply
    75,734.84x = 104,514.36 × 42,200.84
  4. Step 4: Simplify right side
    75,734.84x = 4,410,593,784.06
  5. Step 5: Solve for x
    x = 4,410,593,784.06/75,734.84
  6. Step 6: Final answer
    x = 58,237.32

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