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Finding the Fourth Proportional to 105,421.48, 158,151.42 and 50,017

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Solution

The fourth proportional to 105,421.48, 158,151.42 and 50,017 is: 75,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.48 : 158,151.42 = 50,017 : x
  2. Step 2: Convert to fraction form
    105,421.48/158,151.42 = 50,017/x
  3. Step 3: Cross multiply
    105,421.48x = 158,151.42 × 50,017
  4. Step 4: Simplify right side
    105,421.48x = 7,910,259,574.14
  5. Step 5: Solve for x
    x = 7,910,259,574.14/105,421.48
  6. Step 6: Final answer
    x = 75,034.61

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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.