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Finding the Fourth Proportional to 76,194.80, 114,192.84 and 42,459.41

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Solution

The fourth proportional to 76,194.80, 114,192.84 and 42,459.41 is: 63,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,194.80 : 114,192.84 = 42,459.41 : x
  2. Step 2: Convert to fraction form
    76,194.80/114,192.84 = 42,459.41/x
  3. Step 3: Cross multiply
    76,194.80x = 114,192.84 × 42,459.41
  4. Step 4: Simplify right side
    76,194.80x = 4,848,560,041.66
  5. Step 5: Solve for x
    x = 4,848,560,041.66/76,194.80
  6. Step 6: Final answer
    x = 63,633.74

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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.