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Finding the Fourth Proportional to 29,206.52, 40,305.03 and 15,777.80

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Solution

The fourth proportional to 29,206.52, 40,305.03 and 15,777.80 is: 21,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.52 : 40,305.03 = 15,777.80 : x
  2. Step 2: Convert to fraction form
    29,206.52/40,305.03 = 15,777.80/x
  3. Step 3: Cross multiply
    29,206.52x = 40,305.03 × 15,777.80
  4. Step 4: Simplify right side
    29,206.52x = 635,924,702.33
  5. Step 5: Solve for x
    x = 635,924,702.33/29,206.52
  6. Step 6: Final answer
    x = 21,773.38

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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.