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Finding the Fourth Proportional to 29,553.65, 40,784.49 and 16,806.50

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Solution

The fourth proportional to 29,553.65, 40,784.49 and 16,806.50 is: 23,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,553.65 : 40,784.49 = 16,806.50 : x
  2. Step 2: Convert to fraction form
    29,553.65/40,784.49 = 16,806.50/x
  3. Step 3: Cross multiply
    29,553.65x = 40,784.49 × 16,806.50
  4. Step 4: Simplify right side
    29,553.65x = 685,444,327.26
  5. Step 5: Solve for x
    x = 685,444,327.26/29,553.65
  6. Step 6: Final answer
    x = 23,193.22

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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.