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Finding the Fourth Proportional to 70,638.50, 105,833.22 and 37,285.08

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Solution

The fourth proportional to 70,638.50, 105,833.22 and 37,285.08 is: 55,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,638.50 : 105,833.22 = 37,285.08 : x
  2. Step 2: Convert to fraction form
    70,638.50/105,833.22 = 37,285.08/x
  3. Step 3: Cross multiply
    70,638.50x = 105,833.22 × 37,285.08
  4. Step 4: Simplify right side
    70,638.50x = 3,946,000,074.36
  5. Step 5: Solve for x
    x = 3,946,000,074.36/70,638.50
  6. Step 6: Final answer
    x = 55,861.89

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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.