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Finding the Fourth Proportional to 104,576.34, 156,895.30 and 38,015.42

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Solution

The fourth proportional to 104,576.34, 156,895.30 and 38,015.42 is: 57,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576.34 : 156,895.30 = 38,015.42 : x
  2. Step 2: Convert to fraction form
    104,576.34/156,895.30 = 38,015.42/x
  3. Step 3: Cross multiply
    104,576.34x = 156,895.30 × 38,015.42
  4. Step 4: Simplify right side
    104,576.34x = 5,964,440,725.53
  5. Step 5: Solve for x
    x = 5,964,440,725.53/104,576.34
  6. Step 6: Final answer
    x = 57,034.32

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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.