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Finding the Fourth Proportional to 82,356, 123,523.08 and 23,196.32

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Solution

The fourth proportional to 82,356, 123,523.08 and 23,196.32 is: 34,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356 : 123,523.08 = 23,196.32 : x
  2. Step 2: Convert to fraction form
    82,356/123,523.08 = 23,196.32/x
  3. Step 3: Cross multiply
    82,356x = 123,523.08 × 23,196.32
  4. Step 4: Simplify right side
    82,356x = 2,865,280,891.07
  5. Step 5: Solve for x
    x = 2,865,280,891.07/82,356
  6. Step 6: Final answer
    x = 34,791.40

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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.