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Finding the Fourth Proportional to 71,826.64, 107,673.44 and 36,688.80

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Solution

The fourth proportional to 71,826.64, 107,673.44 and 36,688.80 is: 54,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,826.64 : 107,673.44 = 36,688.80 : x
  2. Step 2: Convert to fraction form
    71,826.64/107,673.44 = 36,688.80/x
  3. Step 3: Cross multiply
    71,826.64x = 107,673.44 × 36,688.80
  4. Step 4: Simplify right side
    71,826.64x = 3,950,409,305.47
  5. Step 5: Solve for x
    x = 3,950,409,305.47/71,826.64
  6. Step 6: Final answer
    x = 54,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.