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Finding the Fourth Proportional to 107,894.46, 161,784.72 and 57,321.84

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Solution

The fourth proportional to 107,894.46, 161,784.72 and 57,321.84 is: 85,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,894.46 : 161,784.72 = 57,321.84 : x
  2. Step 2: Convert to fraction form
    107,894.46/161,784.72 = 57,321.84/x
  3. Step 3: Cross multiply
    107,894.46x = 161,784.72 × 57,321.84
  4. Step 4: Simplify right side
    107,894.46x = 9,273,797,834.28
  5. Step 5: Solve for x
    x = 9,273,797,834.28/107,894.46
  6. Step 6: Final answer
    x = 85,952.49

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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.