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Finding the Fourth Proportional to 29,994.75, 44,992.53 and 9,218.25

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Solution

The fourth proportional to 29,994.75, 44,992.53 and 9,218.25 is: 13,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994.75 : 44,992.53 = 9,218.25 : x
  2. Step 2: Convert to fraction form
    29,994.75/44,992.53 = 9,218.25/x
  3. Step 3: Cross multiply
    29,994.75x = 44,992.53 × 9,218.25
  4. Step 4: Simplify right side
    29,994.75x = 414,752,389.67
  5. Step 5: Solve for x
    x = 414,752,389.67/29,994.75
  6. Step 6: Final answer
    x = 13,827.50

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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.