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Finding the Fourth Proportional to 33,001.42, 49,489.95 and 14,284.18

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Solution

The fourth proportional to 33,001.42, 49,489.95 and 14,284.18 is: 21,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001.42 : 49,489.95 = 14,284.18 : x
  2. Step 2: Convert to fraction form
    33,001.42/49,489.95 = 14,284.18/x
  3. Step 3: Cross multiply
    33,001.42x = 49,489.95 × 14,284.18
  4. Step 4: Simplify right side
    33,001.42x = 706,923,353.99
  5. Step 5: Solve for x
    x = 706,923,353.99/33,001.42
  6. Step 6: Final answer
    x = 21,421.00

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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.