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Finding the Fourth Proportional to 35,582.49, 49,103.85 and 19,666.94

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Solution

The fourth proportional to 35,582.49, 49,103.85 and 19,666.94 is: 27,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,582.49 : 49,103.85 = 19,666.94 : x
  2. Step 2: Convert to fraction form
    35,582.49/49,103.85 = 19,666.94/x
  3. Step 3: Cross multiply
    35,582.49x = 49,103.85 × 19,666.94
  4. Step 4: Simplify right side
    35,582.49x = 965,722,373.38
  5. Step 5: Solve for x
    x = 965,722,373.38/35,582.49
  6. Step 6: Final answer
    x = 27,140.38

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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.