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Finding the Fourth Proportional to 96,973.68, 133,824.48 and 54,531.84

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Solution

The fourth proportional to 96,973.68, 133,824.48 and 54,531.84 is: 75,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973.68 : 133,824.48 = 54,531.84 : x
  2. Step 2: Convert to fraction form
    96,973.68/133,824.48 = 54,531.84/x
  3. Step 3: Cross multiply
    96,973.68x = 133,824.48 × 54,531.84
  4. Step 4: Simplify right side
    96,973.68x = 7,297,695,131.44
  5. Step 5: Solve for x
    x = 7,297,695,131.44/96,973.68
  6. Step 6: Final answer
    x = 75,254.39

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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.