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Finding the Fourth Proportional to 68,977.84, 95,186.71 and 42,165.22

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Solution

The fourth proportional to 68,977.84, 95,186.71 and 42,165.22 is: 58,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,977.84 : 95,186.71 = 42,165.22 : x
  2. Step 2: Convert to fraction form
    68,977.84/95,186.71 = 42,165.22/x
  3. Step 3: Cross multiply
    68,977.84x = 95,186.71 × 42,165.22
  4. Step 4: Simplify right side
    68,977.84x = 4,013,568,568.23
  5. Step 5: Solve for x
    x = 4,013,568,568.23/68,977.84
  6. Step 6: Final answer
    x = 58,186.35

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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.