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Finding the Fourth Proportional to 49,476.98, 68,274.16 and 29,056.88

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Solution

The fourth proportional to 49,476.98, 68,274.16 and 29,056.88 is: 40,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476.98 : 68,274.16 = 29,056.88 : x
  2. Step 2: Convert to fraction form
    49,476.98/68,274.16 = 29,056.88/x
  3. Step 3: Cross multiply
    49,476.98x = 68,274.16 × 29,056.88
  4. Step 4: Simplify right side
    49,476.98x = 1,983,834,172.26
  5. Step 5: Solve for x
    x = 1,983,834,172.26/49,476.98
  6. Step 6: Final answer
    x = 40,096.10

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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.