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Finding the Fourth Proportional to 45,936.75, 68,905.14 and 14,772

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Solution

The fourth proportional to 45,936.75, 68,905.14 and 14,772 is: 22,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936.75 : 68,905.14 = 14,772 : x
  2. Step 2: Convert to fraction form
    45,936.75/68,905.14 = 14,772/x
  3. Step 3: Cross multiply
    45,936.75x = 68,905.14 × 14,772
  4. Step 4: Simplify right side
    45,936.75x = 1,017,866,728.08
  5. Step 5: Solve for x
    x = 1,017,866,728.08/45,936.75
  6. Step 6: Final answer
    x = 22,158.00

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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.