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Finding the Fourth Proportional to 96,451.93, 133,100.64 and 53,429.70

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Solution

The fourth proportional to 96,451.93, 133,100.64 and 53,429.70 is: 73,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,451.93 : 133,100.64 = 53,429.70 : x
  2. Step 2: Convert to fraction form
    96,451.93/133,100.64 = 53,429.70/x
  3. Step 3: Cross multiply
    96,451.93x = 133,100.64 × 53,429.70
  4. Step 4: Simplify right side
    96,451.93x = 7,111,527,265.01
  5. Step 5: Solve for x
    x = 7,111,527,265.01/96,451.93
  6. Step 6: Final answer
    x = 73,731.31

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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.