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Finding the Fourth Proportional to 81,675.48, 112,711.74 and 45,867

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Solution

The fourth proportional to 81,675.48, 112,711.74 and 45,867 is: 63,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,675.48 : 112,711.74 = 45,867 : x
  2. Step 2: Convert to fraction form
    81,675.48/112,711.74 = 45,867/x
  3. Step 3: Cross multiply
    81,675.48x = 112,711.74 × 45,867
  4. Step 4: Simplify right side
    81,675.48x = 5,169,749,378.58
  5. Step 5: Solve for x
    x = 5,169,749,378.58/81,675.48
  6. Step 6: Final answer
    x = 63,296.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.