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Finding the Fourth Proportional to 84,770.82, 117,004.95 and 48,981.60

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Solution

The fourth proportional to 84,770.82, 117,004.95 and 48,981.60 is: 67,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770.82 : 117,004.95 = 48,981.60 : x
  2. Step 2: Convert to fraction form
    84,770.82/117,004.95 = 48,981.60/x
  3. Step 3: Cross multiply
    84,770.82x = 117,004.95 × 48,981.60
  4. Step 4: Simplify right side
    84,770.82x = 5,731,089,658.92
  5. Step 5: Solve for x
    x = 5,731,089,658.92/84,770.82
  6. Step 6: Final answer
    x = 67,606.87

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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.