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Finding the Fourth Proportional to 51,424.84, 70,964.34 and 29,069.32

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Solution

The fourth proportional to 51,424.84, 70,964.34 and 29,069.32 is: 40,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.84 : 70,964.34 = 29,069.32 : x
  2. Step 2: Convert to fraction form
    51,424.84/70,964.34 = 29,069.32/x
  3. Step 3: Cross multiply
    51,424.84x = 70,964.34 × 29,069.32
  4. Step 4: Simplify right side
    51,424.84x = 2,062,885,108.05
  5. Step 5: Solve for x
    x = 2,062,885,108.05/51,424.84
  6. Step 6: Final answer
    x = 40,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.