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Finding the Fourth Proportional to 76,906.98, 115,359.76 and 24,316.48

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Solution

The fourth proportional to 76,906.98, 115,359.76 and 24,316.48 is: 36,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.98 : 115,359.76 = 24,316.48 : x
  2. Step 2: Convert to fraction form
    76,906.98/115,359.76 = 24,316.48/x
  3. Step 3: Cross multiply
    76,906.98x = 115,359.76 × 24,316.48
  4. Step 4: Simplify right side
    76,906.98x = 2,805,143,296.84
  5. Step 5: Solve for x
    x = 2,805,143,296.84/76,906.98
  6. Step 6: Final answer
    x = 36,474.50

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