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Finding the Fourth Proportional to 82,114.59, 123,171.99 and 19,785.09

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Solution

The fourth proportional to 82,114.59, 123,171.99 and 19,785.09 is: 29,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.59 : 123,171.99 = 19,785.09 : x
  2. Step 2: Convert to fraction form
    82,114.59/123,171.99 = 19,785.09/x
  3. Step 3: Cross multiply
    82,114.59x = 123,171.99 × 19,785.09
  4. Step 4: Simplify right side
    82,114.59x = 2,436,968,907.63
  5. Step 5: Solve for x
    x = 2,436,968,907.63/82,114.59
  6. Step 6: Final answer
    x = 29,677.66

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1.5x scale

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.