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Finding the Fourth Proportional to 96,605.82, 144,909.30 and 43,978.50

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Solution

The fourth proportional to 96,605.82, 144,909.30 and 43,978.50 is: 65,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,605.82 : 144,909.30 = 43,978.50 : x
  2. Step 2: Convert to fraction form
    96,605.82/144,909.30 = 43,978.50/x
  3. Step 3: Cross multiply
    96,605.82x = 144,909.30 × 43,978.50
  4. Step 4: Simplify right side
    96,605.82x = 6,372,893,650.05
  5. Step 5: Solve for x
    x = 6,372,893,650.05/96,605.82
  6. Step 6: Final answer
    x = 65,968.01

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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.