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Finding the Fourth Proportional to 82,137.65, 123,206.87 and 22,973.83

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Solution

The fourth proportional to 82,137.65, 123,206.87 and 22,973.83 is: 34,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.65 : 123,206.87 = 22,973.83 : x
  2. Step 2: Convert to fraction form
    82,137.65/123,206.87 = 22,973.83/x
  3. Step 3: Cross multiply
    82,137.65x = 123,206.87 × 22,973.83
  4. Step 4: Simplify right side
    82,137.65x = 2,830,533,435.63
  5. Step 5: Solve for x
    x = 2,830,533,435.63/82,137.65
  6. Step 6: Final answer
    x = 34,460.85

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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.