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Finding the Fourth Proportional to 33,995.16, 50,918.76 and 16,428

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Solution

The fourth proportional to 33,995.16, 50,918.76 and 16,428 is: 24,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,995.16 : 50,918.76 = 16,428 : x
  2. Step 2: Convert to fraction form
    33,995.16/50,918.76 = 16,428/x
  3. Step 3: Cross multiply
    33,995.16x = 50,918.76 × 16,428
  4. Step 4: Simplify right side
    33,995.16x = 836,493,389.28
  5. Step 5: Solve for x
    x = 836,493,389.28/33,995.16
  6. Step 6: Final answer
    x = 24,606.25

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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.