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Finding the Fourth Proportional to 73,276.20, 109,914.30 and 57,529.80

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Solution

The fourth proportional to 73,276.20, 109,914.30 and 57,529.80 is: 86,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,276.20 : 109,914.30 = 57,529.80 : x
  2. Step 2: Convert to fraction form
    73,276.20/109,914.30 = 57,529.80/x
  3. Step 3: Cross multiply
    73,276.20x = 109,914.30 × 57,529.80
  4. Step 4: Simplify right side
    73,276.20x = 6,323,347,696.14
  5. Step 5: Solve for x
    x = 6,323,347,696.14/73,276.20
  6. Step 6: Final answer
    x = 86,294.70

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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.