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Finding the Fourth Proportional to 74,524.38, 102,889.59 and 51,280.80

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Solution

The fourth proportional to 74,524.38, 102,889.59 and 51,280.80 is: 70,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524.38 : 102,889.59 = 51,280.80 : x
  2. Step 2: Convert to fraction form
    74,524.38/102,889.59 = 51,280.80/x
  3. Step 3: Cross multiply
    74,524.38x = 102,889.59 × 51,280.80
  4. Step 4: Simplify right side
    74,524.38x = 5,276,260,486.87
  5. Step 5: Solve for x
    x = 5,276,260,486.87/74,524.38
  6. Step 6: Final answer
    x = 70,799.12

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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.