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Finding the Fourth Proportional to 68,258.94, 102,381.49 and 18,332.55

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Solution

The fourth proportional to 68,258.94, 102,381.49 and 18,332.55 is: 27,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,258.94 : 102,381.49 = 18,332.55 : x
  2. Step 2: Convert to fraction form
    68,258.94/102,381.49 = 18,332.55/x
  3. Step 3: Cross multiply
    68,258.94x = 102,381.49 × 18,332.55
  4. Step 4: Simplify right side
    68,258.94x = 1,876,913,784.50
  5. Step 5: Solve for x
    x = 1,876,913,784.50/68,258.94
  6. Step 6: Final answer
    x = 27,496.97

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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.