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Finding the Fourth Proportional to 56,826.82, 78,401.96 and 36,697.31

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Solution

The fourth proportional to 56,826.82, 78,401.96 and 36,697.31 is: 50,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,826.82 : 78,401.96 = 36,697.31 : x
  2. Step 2: Convert to fraction form
    56,826.82/78,401.96 = 36,697.31/x
  3. Step 3: Cross multiply
    56,826.82x = 78,401.96 × 36,697.31
  4. Step 4: Simplify right side
    56,826.82x = 2,877,140,730.46
  5. Step 5: Solve for x
    x = 2,877,140,730.46/56,826.82
  6. Step 6: Final answer
    x = 50,629.98

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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.