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Finding the Fourth Proportional to 75,539.72, 104,243.46 and 42,005

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Solution

The fourth proportional to 75,539.72, 104,243.46 and 42,005 is: 57,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,539.72 : 104,243.46 = 42,005 : x
  2. Step 2: Convert to fraction form
    75,539.72/104,243.46 = 42,005/x
  3. Step 3: Cross multiply
    75,539.72x = 104,243.46 × 42,005
  4. Step 4: Simplify right side
    75,539.72x = 4,378,746,537.30
  5. Step 5: Solve for x
    x = 4,378,746,537.30/75,539.72
  6. Step 6: Final answer
    x = 57,966.15

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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.