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Finding the Fourth Proportional to 96,435.68, 133,081.44 and 53,996

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Solution

The fourth proportional to 96,435.68, 133,081.44 and 53,996 is: 74,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,435.68 : 133,081.44 = 53,996 : x
  2. Step 2: Convert to fraction form
    96,435.68/133,081.44 = 53,996/x
  3. Step 3: Cross multiply
    96,435.68x = 133,081.44 × 53,996
  4. Step 4: Simplify right side
    96,435.68x = 7,185,865,434.24
  5. Step 5: Solve for x
    x = 7,185,865,434.24/96,435.68
  6. Step 6: Final answer
    x = 74,514.59

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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.