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Finding the Fourth Proportional to 75,694.50, 104,458.41 and 42,160.50

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Solution

The fourth proportional to 75,694.50, 104,458.41 and 42,160.50 is: 58,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,694.50 : 104,458.41 = 42,160.50 : x
  2. Step 2: Convert to fraction form
    75,694.50/104,458.41 = 42,160.50/x
  3. Step 3: Cross multiply
    75,694.50x = 104,458.41 × 42,160.50
  4. Step 4: Simplify right side
    75,694.50x = 4,404,018,794.81
  5. Step 5: Solve for x
    x = 4,404,018,794.81/75,694.50
  6. Step 6: Final answer
    x = 58,181.49

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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.