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Finding the Fourth Proportional to 44,955.73, 67,475 and 22,784.82

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Solution

The fourth proportional to 44,955.73, 67,475 and 22,784.82 is: 34,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,955.73 : 67,475 = 22,784.82 : x
  2. Step 2: Convert to fraction form
    44,955.73/67,475 = 22,784.82/x
  3. Step 3: Cross multiply
    44,955.73x = 67,475 × 22,784.82
  4. Step 4: Simplify right side
    44,955.73x = 1,537,405,729.50
  5. Step 5: Solve for x
    x = 1,537,405,729.50/44,955.73
  6. Step 6: Final answer
    x = 34,198.22

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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.