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Finding the Fourth Proportional to 53,273.46, 73,538.46 and 32,048.67

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Solution

The fourth proportional to 53,273.46, 73,538.46 and 32,048.67 is: 44,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,273.46 : 73,538.46 = 32,048.67 : x
  2. Step 2: Convert to fraction form
    53,273.46/73,538.46 = 32,048.67/x
  3. Step 3: Cross multiply
    53,273.46x = 73,538.46 × 32,048.67
  4. Step 4: Simplify right side
    53,273.46x = 2,356,809,836.85
  5. Step 5: Solve for x
    x = 2,356,809,836.85/53,273.46
  6. Step 6: Final answer
    x = 44,239.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.