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Finding the Fourth Proportional to 96,375, 132,994.62 and 53,356.26

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Solution

The fourth proportional to 96,375, 132,994.62 and 53,356.26 is: 73,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,375 : 132,994.62 = 53,356.26 : x
  2. Step 2: Convert to fraction form
    96,375/132,994.62 = 53,356.26/x
  3. Step 3: Cross multiply
    96,375x = 132,994.62 × 53,356.26
  4. Step 4: Simplify right side
    96,375x = 7,096,095,523.32
  5. Step 5: Solve for x
    x = 7,096,095,523.32/96,375
  6. Step 6: Final answer
    x = 73,630.04

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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.