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Finding the Fourth Proportional to 40,858.86, 56,406.87 and 31,764.18

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Solution

The fourth proportional to 40,858.86, 56,406.87 and 31,764.18 is: 43,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,858.86 : 56,406.87 = 31,764.18 : x
  2. Step 2: Convert to fraction form
    40,858.86/56,406.87 = 31,764.18/x
  3. Step 3: Cross multiply
    40,858.86x = 56,406.87 × 31,764.18
  4. Step 4: Simplify right side
    40,858.86x = 1,791,717,971.92
  5. Step 5: Solve for x
    x = 1,791,717,971.92/40,858.86
  6. Step 6: Final answer
    x = 43,851.39

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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.