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Finding the Fourth Proportional to 30,005.84, 44,983.55 and 14,201.73

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Solution

The fourth proportional to 30,005.84, 44,983.55 and 14,201.73 is: 21,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.84 : 44,983.55 = 14,201.73 : x
  2. Step 2: Convert to fraction form
    30,005.84/44,983.55 = 14,201.73/x
  3. Step 3: Cross multiply
    30,005.84x = 44,983.55 × 14,201.73
  4. Step 4: Simplify right side
    30,005.84x = 638,844,267.05
  5. Step 5: Solve for x
    x = 638,844,267.05/30,005.84
  6. Step 6: Final answer
    x = 21,290.66

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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.