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Finding the Fourth Proportional to 82,630, 123,946.44 and 33,382

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Solution

The fourth proportional to 82,630, 123,946.44 and 33,382 is: 50,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,630 : 123,946.44 = 33,382 : x
  2. Step 2: Convert to fraction form
    82,630/123,946.44 = 33,382/x
  3. Step 3: Cross multiply
    82,630x = 123,946.44 × 33,382
  4. Step 4: Simplify right side
    82,630x = 4,137,580,060.08
  5. Step 5: Solve for x
    x = 4,137,580,060.08/82,630
  6. Step 6: Final answer
    x = 50,073.58

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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.