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Finding the Fourth Proportional to 84,564.84, 116,511.54 and 55,833.30

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Solution

The fourth proportional to 84,564.84, 116,511.54 and 55,833.30 is: 76,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564.84 : 116,511.54 = 55,833.30 : x
  2. Step 2: Convert to fraction form
    84,564.84/116,511.54 = 55,833.30/x
  3. Step 3: Cross multiply
    84,564.84x = 116,511.54 × 55,833.30
  4. Step 4: Simplify right side
    84,564.84x = 6,505,223,766.28
  5. Step 5: Solve for x
    x = 6,505,223,766.28/84,564.84
  6. Step 6: Final answer
    x = 76,925.87

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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.