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Finding the Fourth Proportional to 59,455.38, 89,175.78 and 34,509

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Solution

The fourth proportional to 59,455.38, 89,175.78 and 34,509 is: 51,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,455.38 : 89,175.78 = 34,509 : x
  2. Step 2: Convert to fraction form
    59,455.38/89,175.78 = 34,509/x
  3. Step 3: Cross multiply
    59,455.38x = 89,175.78 × 34,509
  4. Step 4: Simplify right side
    59,455.38x = 3,077,366,992.02
  5. Step 5: Solve for x
    x = 3,077,366,992.02/59,455.38
  6. Step 6: Final answer
    x = 51,759.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.