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Finding the Fourth Proportional to 82,767, 124,174.98 and 47,731.80

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Solution

The fourth proportional to 82,767, 124,174.98 and 47,731.80 is: 71,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767 : 124,174.98 = 47,731.80 : x
  2. Step 2: Convert to fraction form
    82,767/124,174.98 = 47,731.80/x
  3. Step 3: Cross multiply
    82,767x = 124,174.98 × 47,731.80
  4. Step 4: Simplify right side
    82,767x = 5,927,095,310.36
  5. Step 5: Solve for x
    x = 5,927,095,310.36/82,767
  6. Step 6: Final answer
    x = 71,611.82

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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.