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Finding the Fourth Proportional to 107,874.80, 161,835.54 and 41,314.94

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Solution

The fourth proportional to 107,874.80, 161,835.54 and 41,314.94 is: 61,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,874.80 : 161,835.54 = 41,314.94 : x
  2. Step 2: Convert to fraction form
    107,874.80/161,835.54 = 41,314.94/x
  3. Step 3: Cross multiply
    107,874.80x = 161,835.54 × 41,314.94
  4. Step 4: Simplify right side
    107,874.80x = 6,686,225,624.97
  5. Step 5: Solve for x
    x = 6,686,225,624.97/107,874.80
  6. Step 6: Final answer
    x = 61,981.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.