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Finding the Fourth Proportional to 53,059.75, 73,221.67 and 29,185.00

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Solution

The fourth proportional to 53,059.75, 73,221.67 and 29,185.00 is: 40,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,059.75 : 73,221.67 = 29,185.00 : x
  2. Step 2: Convert to fraction form
    53,059.75/73,221.67 = 29,185.00/x
  3. Step 3: Cross multiply
    53,059.75x = 73,221.67 × 29,185.00
  4. Step 4: Simplify right side
    53,059.75x = 2,136,974,292.38
  5. Step 5: Solve for x
    x = 2,136,974,292.38/53,059.75
  6. Step 6: Final answer
    x = 40,274.87

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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.