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Finding the Fourth Proportional to 68,198.51, 94,116.87 and 37,983.84

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Solution

The fourth proportional to 68,198.51, 94,116.87 and 37,983.84 is: 52,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,198.51 : 94,116.87 = 37,983.84 : x
  2. Step 2: Convert to fraction form
    68,198.51/94,116.87 = 37,983.84/x
  3. Step 3: Cross multiply
    68,198.51x = 94,116.87 × 37,983.84
  4. Step 4: Simplify right side
    68,198.51x = 3,574,920,131.38
  5. Step 5: Solve for x
    x = 3,574,920,131.38/68,198.51
  6. Step 6: Final answer
    x = 52,419.33

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1.5x scale

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.