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Finding the Fourth Proportional to 39,097.24, 53,957.94 and 22,327

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Solution

The fourth proportional to 39,097.24, 53,957.94 and 22,327 is: 30,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.24 : 53,957.94 = 22,327 : x
  2. Step 2: Convert to fraction form
    39,097.24/53,957.94 = 22,327/x
  3. Step 3: Cross multiply
    39,097.24x = 53,957.94 × 22,327
  4. Step 4: Simplify right side
    39,097.24x = 1,204,718,926.38
  5. Step 5: Solve for x
    x = 1,204,718,926.38/39,097.24
  6. Step 6: Final answer
    x = 30,813.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.