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Finding the Fourth Proportional to 97,097.92, 133,998.72 and 54,081.28

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Solution

The fourth proportional to 97,097.92, 133,998.72 and 54,081.28 is: 74,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,097.92 : 133,998.72 = 54,081.28 : x
  2. Step 2: Convert to fraction form
    97,097.92/133,998.72 = 54,081.28/x
  3. Step 3: Cross multiply
    97,097.92x = 133,998.72 × 54,081.28
  4. Step 4: Simplify right side
    97,097.92x = 7,246,822,295.96
  5. Step 5: Solve for x
    x = 7,246,822,295.96/97,097.92
  6. Step 6: Final answer
    x = 74,634.17

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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.