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Finding the Fourth Proportional to 68,573.84, 102,859.65 and 49,971.92

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Solution

The fourth proportional to 68,573.84, 102,859.65 and 49,971.92 is: 74,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,573.84 : 102,859.65 = 49,971.92 : x
  2. Step 2: Convert to fraction form
    68,573.84/102,859.65 = 49,971.92/x
  3. Step 3: Cross multiply
    68,573.84x = 102,859.65 × 49,971.92
  4. Step 4: Simplify right side
    68,573.84x = 5,140,093,686.73
  5. Step 5: Solve for x
    x = 5,140,093,686.73/68,573.84
  6. Step 6: Final answer
    x = 74,957.07

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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.