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Finding the Fourth Proportional to 96,084.92, 144,127.38 and 49,307.96

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Solution

The fourth proportional to 96,084.92, 144,127.38 and 49,307.96 is: 73,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,084.92 : 144,127.38 = 49,307.96 : x
  2. Step 2: Convert to fraction form
    96,084.92/144,127.38 = 49,307.96/x
  3. Step 3: Cross multiply
    96,084.92x = 144,127.38 × 49,307.96
  4. Step 4: Simplify right side
    96,084.92x = 7,106,627,087.94
  5. Step 5: Solve for x
    x = 7,106,627,087.94/96,084.92
  6. Step 6: Final answer
    x = 73,961.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.