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Finding the Fourth Proportional to 57,498.94, 86,226 and 17,509.24

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Solution

The fourth proportional to 57,498.94, 86,226 and 17,509.24 is: 26,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498.94 : 86,226 = 17,509.24 : x
  2. Step 2: Convert to fraction form
    57,498.94/86,226 = 17,509.24/x
  3. Step 3: Cross multiply
    57,498.94x = 86,226 × 17,509.24
  4. Step 4: Simplify right side
    57,498.94x = 1,509,751,728.24
  5. Step 5: Solve for x
    x = 1,509,751,728.24/57,498.94
  6. Step 6: Final answer
    x = 26,257.04

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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.