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Finding the Fourth Proportional to 29,274.66, 43,912.10 and 7,088

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Solution

The fourth proportional to 29,274.66, 43,912.10 and 7,088 is: 10,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274.66 : 43,912.10 = 7,088 : x
  2. Step 2: Convert to fraction form
    29,274.66/43,912.10 = 7,088/x
  3. Step 3: Cross multiply
    29,274.66x = 43,912.10 × 7,088
  4. Step 4: Simplify right side
    29,274.66x = 311,248,964.80
  5. Step 5: Solve for x
    x = 311,248,964.80/29,274.66
  6. Step 6: Final answer
    x = 10,632.03

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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.