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Finding the Fourth Proportional to 81,813.68, 113,104.08 and 81,065.24

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Solution

The fourth proportional to 81,813.68, 113,104.08 and 81,065.24 is: 112,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.68 : 113,104.08 = 81,065.24 : x
  2. Step 2: Convert to fraction form
    81,813.68/113,104.08 = 81,065.24/x
  3. Step 3: Cross multiply
    81,813.68x = 113,104.08 × 81,065.24
  4. Step 4: Simplify right side
    81,813.68x = 9,168,809,390.18
  5. Step 5: Solve for x
    x = 9,168,809,390.18/81,813.68
  6. Step 6: Final answer
    x = 112,069.39

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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.