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Finding the Fourth Proportional to 53,796.76, 80,695 and 16,356.67

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Solution

The fourth proportional to 53,796.76, 80,695 and 16,356.67 is: 24,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,796.76 : 80,695 = 16,356.67 : x
  2. Step 2: Convert to fraction form
    53,796.76/80,695 = 16,356.67/x
  3. Step 3: Cross multiply
    53,796.76x = 80,695 × 16,356.67
  4. Step 4: Simplify right side
    53,796.76x = 1,319,901,485.65
  5. Step 5: Solve for x
    x = 1,319,901,485.65/53,796.76
  6. Step 6: Final answer
    x = 24,534.96

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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.