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Finding the Fourth Proportional to 77,994.73, 117,012.84 and 24,687.73

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Solution

The fourth proportional to 77,994.73, 117,012.84 and 24,687.73 is: 37,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,994.73 : 117,012.84 = 24,687.73 : x
  2. Step 2: Convert to fraction form
    77,994.73/117,012.84 = 24,687.73/x
  3. Step 3: Cross multiply
    77,994.73x = 117,012.84 × 24,687.73
  4. Step 4: Simplify right side
    77,994.73x = 2,888,781,400.45
  5. Step 5: Solve for x
    x = 2,888,781,400.45/77,994.73
  6. Step 6: Final answer
    x = 37,038.16

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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.