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Finding the Fourth Proportional to 56,452.56, 77,902.68 and 31,303.92

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Solution

The fourth proportional to 56,452.56, 77,902.68 and 31,303.92 is: 43,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,452.56 : 77,902.68 = 31,303.92 : x
  2. Step 2: Convert to fraction form
    56,452.56/77,902.68 = 31,303.92/x
  3. Step 3: Cross multiply
    56,452.56x = 77,902.68 × 31,303.92
  4. Step 4: Simplify right side
    56,452.56x = 2,438,659,262.51
  5. Step 5: Solve for x
    x = 2,438,659,262.51/56,452.56
  6. Step 6: Final answer
    x = 43,198.38

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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.