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Finding the Fourth Proportional to 97,729.68, 134,857.06 and 54,706.38

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Solution

The fourth proportional to 97,729.68, 134,857.06 and 54,706.38 is: 75,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,729.68 : 134,857.06 = 54,706.38 : x
  2. Step 2: Convert to fraction form
    97,729.68/134,857.06 = 54,706.38/x
  3. Step 3: Cross multiply
    97,729.68x = 134,857.06 × 54,706.38
  4. Step 4: Simplify right side
    97,729.68x = 7,377,541,570.04
  5. Step 5: Solve for x
    x = 7,377,541,570.04/97,729.68
  6. Step 6: Final answer
    x = 75,489.26

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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.