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Finding the Fourth Proportional to 53,857.74, 80,715.33 and 41,329.89

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Solution

The fourth proportional to 53,857.74, 80,715.33 and 41,329.89 is: 61,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.74 : 80,715.33 = 41,329.89 : x
  2. Step 2: Convert to fraction form
    53,857.74/80,715.33 = 41,329.89/x
  3. Step 3: Cross multiply
    53,857.74x = 80,715.33 × 41,329.89
  4. Step 4: Simplify right side
    53,857.74x = 3,335,955,710.21
  5. Step 5: Solve for x
    x = 3,335,955,710.21/53,857.74
  6. Step 6: Final answer
    x = 61,940.14

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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.