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Finding the Fourth Proportional to 81,690.21, 112,739.31 and 45,887.40

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Solution

The fourth proportional to 81,690.21, 112,739.31 and 45,887.40 is: 63,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,690.21 : 112,739.31 = 45,887.40 : x
  2. Step 2: Convert to fraction form
    81,690.21/112,739.31 = 45,887.40/x
  3. Step 3: Cross multiply
    81,690.21x = 112,739.31 × 45,887.40
  4. Step 4: Simplify right side
    81,690.21x = 5,173,313,813.69
  5. Step 5: Solve for x
    x = 5,173,313,813.69/81,690.21
  6. Step 6: Final answer
    x = 63,328.44

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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.