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Finding the Fourth Proportional to 76,994.80, 115,504.35 and 24,409.60

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Solution

The fourth proportional to 76,994.80, 115,504.35 and 24,409.60 is: 36,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994.80 : 115,504.35 = 24,409.60 : x
  2. Step 2: Convert to fraction form
    76,994.80/115,504.35 = 24,409.60/x
  3. Step 3: Cross multiply
    76,994.80x = 115,504.35 × 24,409.60
  4. Step 4: Simplify right side
    76,994.80x = 2,819,414,981.76
  5. Step 5: Solve for x
    x = 2,819,414,981.76/76,994.80
  6. Step 6: Final answer
    x = 36,618.25

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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.