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Finding the Fourth Proportional to 29,125.98, 40,177.62 and 20,178.72

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Solution

The fourth proportional to 29,125.98, 40,177.62 and 20,178.72 is: 27,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125.98 : 40,177.62 = 20,178.72 : x
  2. Step 2: Convert to fraction form
    29,125.98/40,177.62 = 20,178.72/x
  3. Step 3: Cross multiply
    29,125.98x = 40,177.62 × 20,178.72
  4. Step 4: Simplify right side
    29,125.98x = 810,732,944.25
  5. Step 5: Solve for x
    x = 810,732,944.25/29,125.98
  6. Step 6: Final answer
    x = 27,835.39

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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.