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Finding the Fourth Proportional to 105,522.68, 158,292.22 and 30,644.06

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Solution

The fourth proportional to 105,522.68, 158,292.22 and 30,644.06 is: 45,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,522.68 : 158,292.22 = 30,644.06 : x
  2. Step 2: Convert to fraction form
    105,522.68/158,292.22 = 30,644.06/x
  3. Step 3: Cross multiply
    105,522.68x = 158,292.22 × 30,644.06
  4. Step 4: Simplify right side
    105,522.68x = 4,850,716,287.21
  5. Step 5: Solve for x
    x = 4,850,716,287.21/105,522.68
  6. Step 6: Final answer
    x = 45,968.47

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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.