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Finding the Fourth Proportional to 56,441.32, 77,889.12 and 31,290.82

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Solution

The fourth proportional to 56,441.32, 77,889.12 and 31,290.82 is: 43,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,441.32 : 77,889.12 = 31,290.82 : x
  2. Step 2: Convert to fraction form
    56,441.32/77,889.12 = 31,290.82/x
  3. Step 3: Cross multiply
    56,441.32x = 77,889.12 × 31,290.82
  4. Step 4: Simplify right side
    56,441.32x = 2,437,214,433.88
  5. Step 5: Solve for x
    x = 2,437,214,433.88/56,441.32
  6. Step 6: Final answer
    x = 43,181.39

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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.