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Finding the Fourth Proportional to 97,693.76, 146,546.32 and 37,722.56

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Solution

The fourth proportional to 97,693.76, 146,546.32 and 37,722.56 is: 56,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,693.76 : 146,546.32 = 37,722.56 : x
  2. Step 2: Convert to fraction form
    97,693.76/146,546.32 = 37,722.56/x
  3. Step 3: Cross multiply
    97,693.76x = 146,546.32 × 37,722.56
  4. Step 4: Simplify right side
    97,693.76x = 5,528,102,348.98
  5. Step 5: Solve for x
    x = 5,528,102,348.98/97,693.76
  6. Step 6: Final answer
    x = 56,586.03

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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.