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Finding the Fourth Proportional to 74,740.86, 103,141.71 and 41,206.86

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Solution

The fourth proportional to 74,740.86, 103,141.71 and 41,206.86 is: 56,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740.86 : 103,141.71 = 41,206.86 : x
  2. Step 2: Convert to fraction form
    74,740.86/103,141.71 = 41,206.86/x
  3. Step 3: Cross multiply
    74,740.86x = 103,141.71 × 41,206.86
  4. Step 4: Simplify right side
    74,740.86x = 4,250,146,004.13
  5. Step 5: Solve for x
    x = 4,250,146,004.13/74,740.86
  6. Step 6: Final answer
    x = 56,865.09

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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.