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Finding the Fourth Proportional to 49,387, 68,154.54 and 27,031.48

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Solution

The fourth proportional to 49,387, 68,154.54 and 27,031.48 is: 37,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387 : 68,154.54 = 27,031.48 : x
  2. Step 2: Convert to fraction form
    49,387/68,154.54 = 27,031.48/x
  3. Step 3: Cross multiply
    49,387x = 68,154.54 × 27,031.48
  4. Step 4: Simplify right side
    49,387x = 1,842,318,084.92
  5. Step 5: Solve for x
    x = 1,842,318,084.92/49,387
  6. Step 6: Final answer
    x = 37,303.71

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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.