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Finding the Fourth Proportional to 129,792.48, 194,687.42 and 41,046

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Solution

The fourth proportional to 129,792.48, 194,687.42 and 41,046 is: 61,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,792.48 : 194,687.42 = 41,046 : x
  2. Step 2: Convert to fraction form
    129,792.48/194,687.42 = 41,046/x
  3. Step 3: Cross multiply
    129,792.48x = 194,687.42 × 41,046
  4. Step 4: Simplify right side
    129,792.48x = 7,991,139,943.94
  5. Step 5: Solve for x
    x = 7,991,139,943.94/129,792.48
  6. Step 6: Final answer
    x = 61,568.59

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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.