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Finding the Fourth Proportional to 105,568, 158,364.96 and 31,696

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Solution

The fourth proportional to 105,568, 158,364.96 and 31,696 is: 47,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,568 : 158,364.96 = 31,696 : x
  2. Step 2: Convert to fraction form
    105,568/158,364.96 = 31,696/x
  3. Step 3: Cross multiply
    105,568x = 158,364.96 × 31,696
  4. Step 4: Simplify right side
    105,568x = 5,019,535,772.16
  5. Step 5: Solve for x
    x = 5,019,535,772.16/105,568
  6. Step 6: Final answer
    x = 47,547.89

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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.