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Finding the Fourth Proportional to 81,833.96, 112,441.45 and 65,037.80

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Solution

The fourth proportional to 81,833.96, 112,441.45 and 65,037.80 is: 89,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.96 : 112,441.45 = 65,037.80 : x
  2. Step 2: Convert to fraction form
    81,833.96/112,441.45 = 65,037.80/x
  3. Step 3: Cross multiply
    81,833.96x = 112,441.45 × 65,037.80
  4. Step 4: Simplify right side
    81,833.96x = 7,312,944,536.81
  5. Step 5: Solve for x
    x = 7,312,944,536.81/81,833.96
  6. Step 6: Final answer
    x = 89,363.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.