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Finding the Fourth Proportional to 102,164.34, 153,252.27 and 31,089.29

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Solution

The fourth proportional to 102,164.34, 153,252.27 and 31,089.29 is: 46,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.34 : 153,252.27 = 31,089.29 : x
  2. Step 2: Convert to fraction form
    102,164.34/153,252.27 = 31,089.29/x
  3. Step 3: Cross multiply
    102,164.34x = 153,252.27 × 31,089.29
  4. Step 4: Simplify right side
    102,164.34x = 4,764,504,879.43
  5. Step 5: Solve for x
    x = 4,764,504,879.43/102,164.34
  6. Step 6: Final answer
    x = 46,635.69

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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.