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Finding the Fourth Proportional to 53,469.84, 73,804.80 and 30,823.98

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Solution

The fourth proportional to 53,469.84, 73,804.80 and 30,823.98 is: 42,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469.84 : 73,804.80 = 30,823.98 : x
  2. Step 2: Convert to fraction form
    53,469.84/73,804.80 = 30,823.98/x
  3. Step 3: Cross multiply
    53,469.84x = 73,804.80 × 30,823.98
  4. Step 4: Simplify right side
    53,469.84x = 2,274,957,679.10
  5. Step 5: Solve for x
    x = 2,274,957,679.10/53,469.84
  6. Step 6: Final answer
    x = 42,546.56

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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.