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Finding the Fourth Proportional to 102,162.20, 153,243.58 and 31,085.52

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Solution

The fourth proportional to 102,162.20, 153,243.58 and 31,085.52 is: 46,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.20 : 153,243.58 = 31,085.52 : x
  2. Step 2: Convert to fraction form
    102,162.20/153,243.58 = 31,085.52/x
  3. Step 3: Cross multiply
    102,162.20x = 153,243.58 × 31,085.52
  4. Step 4: Simplify right side
    102,162.20x = 4,763,656,370.96
  5. Step 5: Solve for x
    x = 4,763,656,370.96/102,162.20
  6. Step 6: Final answer
    x = 46,628.37

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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.