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Finding the Fourth Proportional to 74,665.86, 103,038.84 and 41,131.86

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Solution

The fourth proportional to 74,665.86, 103,038.84 and 41,131.86 is: 56,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,665.86 : 103,038.84 = 41,131.86 : x
  2. Step 2: Convert to fraction form
    74,665.86/103,038.84 = 41,131.86/x
  3. Step 3: Cross multiply
    74,665.86x = 103,038.84 × 41,131.86
  4. Step 4: Simplify right side
    74,665.86x = 4,238,178,484.92
  5. Step 5: Solve for x
    x = 4,238,178,484.92/74,665.86
  6. Step 6: Final answer
    x = 56,761.94

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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.