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Finding the Fourth Proportional to 81,803.52, 122,675.04 and 48,530.88

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Solution

The fourth proportional to 81,803.52, 122,675.04 and 48,530.88 is: 72,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.52 : 122,675.04 = 48,530.88 : x
  2. Step 2: Convert to fraction form
    81,803.52/122,675.04 = 48,530.88/x
  3. Step 3: Cross multiply
    81,803.52x = 122,675.04 × 48,530.88
  4. Step 4: Simplify right side
    81,803.52x = 5,953,527,645.24
  5. Step 5: Solve for x
    x = 5,953,527,645.24/81,803.52
  6. Step 6: Final answer
    x = 72,778.38

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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.