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Finding the Fourth Proportional to 49,534, 68,358.12 and 27,178

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Solution

The fourth proportional to 49,534, 68,358.12 and 27,178 is: 37,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534 : 68,358.12 = 27,178 : x
  2. Step 2: Convert to fraction form
    49,534/68,358.12 = 27,178/x
  3. Step 3: Cross multiply
    49,534x = 68,358.12 × 27,178
  4. Step 4: Simplify right side
    49,534x = 1,857,836,985.36
  5. Step 5: Solve for x
    x = 1,857,836,985.36/49,534
  6. Step 6: Final answer
    x = 37,506.30

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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.