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Finding the Fourth Proportional to 68,097.72, 102,017.77 and 38,536.77

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Solution

The fourth proportional to 68,097.72, 102,017.77 and 38,536.77 is: 57,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.72 : 102,017.77 = 38,536.77 : x
  2. Step 2: Convert to fraction form
    68,097.72/102,017.77 = 38,536.77/x
  3. Step 3: Cross multiply
    68,097.72x = 102,017.77 × 38,536.77
  4. Step 4: Simplify right side
    68,097.72x = 3,931,435,338.40
  5. Step 5: Solve for x
    x = 3,931,435,338.40/68,097.72
  6. Step 6: Final answer
    x = 57,732.26

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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.