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Finding the Fourth Proportional to 167,384.34, 251,084.10 and 47,449.87

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Solution

The fourth proportional to 167,384.34, 251,084.10 and 47,449.87 is: 71,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,384.34 : 251,084.10 = 47,449.87 : x
  2. Step 2: Convert to fraction form
    167,384.34/251,084.10 = 47,449.87/x
  3. Step 3: Cross multiply
    167,384.34x = 251,084.10 × 47,449.87
  4. Step 4: Simplify right side
    167,384.34x = 11,913,907,454.29
  5. Step 5: Solve for x
    x = 11,913,907,454.29/167,384.34
  6. Step 6: Final answer
    x = 71,176.95

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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.