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Finding the Fourth Proportional to 96,611.84, 144,918.30 and 43,984.52

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Solution

The fourth proportional to 96,611.84, 144,918.30 and 43,984.52 is: 65,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,611.84 : 144,918.30 = 43,984.52 : x
  2. Step 2: Convert to fraction form
    96,611.84/144,918.30 = 43,984.52/x
  3. Step 3: Cross multiply
    96,611.84x = 144,918.30 × 43,984.52
  4. Step 4: Simplify right side
    96,611.84x = 6,374,161,864.72
  5. Step 5: Solve for x
    x = 6,374,161,864.72/96,611.84
  6. Step 6: Final answer
    x = 65,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.