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Finding the Fourth Proportional to 53,282.50, 73,529.84 and 29,409.17

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Solution

The fourth proportional to 53,282.50, 73,529.84 and 29,409.17 is: 40,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282.50 : 73,529.84 = 29,409.17 : x
  2. Step 2: Convert to fraction form
    53,282.50/73,529.84 = 29,409.17/x
  3. Step 3: Cross multiply
    53,282.50x = 73,529.84 × 29,409.17
  4. Step 4: Simplify right side
    53,282.50x = 2,162,451,694.45
  5. Step 5: Solve for x
    x = 2,162,451,694.45/53,282.50
  6. Step 6: Final answer
    x = 40,584.65

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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.