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Finding the Fourth Proportional to 75,490.84, 104,182.50 and 49,953.16

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Solution

The fourth proportional to 75,490.84, 104,182.50 and 49,953.16 is: 68,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,490.84 : 104,182.50 = 49,953.16 : x
  2. Step 2: Convert to fraction form
    75,490.84/104,182.50 = 49,953.16/x
  3. Step 3: Cross multiply
    75,490.84x = 104,182.50 × 49,953.16
  4. Step 4: Simplify right side
    75,490.84x = 5,204,245,091.70
  5. Step 5: Solve for x
    x = 5,204,245,091.70/75,490.84
  6. Step 6: Final answer
    x = 68,938.76

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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.