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Finding the Fourth Proportional to 96,409.85, 133,044.14 and 53,969.90

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Solution

The fourth proportional to 96,409.85, 133,044.14 and 53,969.90 is: 74,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,409.85 : 133,044.14 = 53,969.90 : x
  2. Step 2: Convert to fraction form
    96,409.85/133,044.14 = 53,969.90/x
  3. Step 3: Cross multiply
    96,409.85x = 133,044.14 × 53,969.90
  4. Step 4: Simplify right side
    96,409.85x = 7,180,378,661.54
  5. Step 5: Solve for x
    x = 7,180,378,661.54/96,409.85
  6. Step 6: Final answer
    x = 74,477.65

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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.