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Finding the Fourth Proportional to 74,025.38, 102,164.74 and 42,186.98

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Solution

The fourth proportional to 74,025.38, 102,164.74 and 42,186.98 is: 58,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025.38 : 102,164.74 = 42,186.98 : x
  2. Step 2: Convert to fraction form
    74,025.38/102,164.74 = 42,186.98/x
  3. Step 3: Cross multiply
    74,025.38x = 102,164.74 × 42,186.98
  4. Step 4: Simplify right side
    74,025.38x = 4,310,021,843.09
  5. Step 5: Solve for x
    x = 4,310,021,843.09/74,025.38
  6. Step 6: Final answer
    x = 58,223.57

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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.