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Finding the Fourth Proportional to 84,073.27, 116,068.64 and 55,817.59

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Solution

The fourth proportional to 84,073.27, 116,068.64 and 55,817.59 is: 77,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073.27 : 116,068.64 = 55,817.59 : x
  2. Step 2: Convert to fraction form
    84,073.27/116,068.64 = 55,817.59/x
  3. Step 3: Cross multiply
    84,073.27x = 116,068.64 × 55,817.59
  4. Step 4: Simplify right side
    84,073.27x = 6,478,671,759.38
  5. Step 5: Solve for x
    x = 6,478,671,759.38/84,073.27
  6. Step 6: Final answer
    x = 77,059.83

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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.