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Finding the Fourth Proportional to 65,406.91, 90,237.32 and 41,201.38

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Solution

The fourth proportional to 65,406.91, 90,237.32 and 41,201.38 is: 56,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.91 : 90,237.32 = 41,201.38 : x
  2. Step 2: Convert to fraction form
    65,406.91/90,237.32 = 41,201.38/x
  3. Step 3: Cross multiply
    65,406.91x = 90,237.32 × 41,201.38
  4. Step 4: Simplify right side
    65,406.91x = 3,717,902,111.50
  5. Step 5: Solve for x
    x = 3,717,902,111.50/65,406.91
  6. Step 6: Final answer
    x = 56,842.65

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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.