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Finding the Fourth Proportional to 84,729.93, 116,936.53 and 54,131.01

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Solution

The fourth proportional to 84,729.93, 116,936.53 and 54,131.01 is: 74,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729.93 : 116,936.53 = 54,131.01 : x
  2. Step 2: Convert to fraction form
    84,729.93/116,936.53 = 54,131.01/x
  3. Step 3: Cross multiply
    84,729.93x = 116,936.53 × 54,131.01
  4. Step 4: Simplify right side
    84,729.93x = 6,329,892,542.74
  5. Step 5: Solve for x
    x = 6,329,892,542.74/84,729.93
  6. Step 6: Final answer
    x = 74,706.69

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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.