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Finding the Fourth Proportional to 116,704.80, 175,084.92 and 37,819.08

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Solution

The fourth proportional to 116,704.80, 175,084.92 and 37,819.08 is: 56,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,704.80 : 175,084.92 = 37,819.08 : x
  2. Step 2: Convert to fraction form
    116,704.80/175,084.92 = 37,819.08/x
  3. Step 3: Cross multiply
    116,704.80x = 175,084.92 × 37,819.08
  4. Step 4: Simplify right side
    116,704.80x = 6,621,550,596.27
  5. Step 5: Solve for x
    x = 6,621,550,596.27/116,704.80
  6. Step 6: Final answer
    x = 56,737.60

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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.