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Finding the Fourth Proportional to 49,368, 68,127.84 and 27,012

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Solution

The fourth proportional to 49,368, 68,127.84 and 27,012 is: 37,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,368 : 68,127.84 = 27,012 : x
  2. Step 2: Convert to fraction form
    49,368/68,127.84 = 27,012/x
  3. Step 3: Cross multiply
    49,368x = 68,127.84 × 27,012
  4. Step 4: Simplify right side
    49,368x = 1,840,269,214.08
  5. Step 5: Solve for x
    x = 1,840,269,214.08/49,368
  6. Step 6: Final answer
    x = 37,276.56

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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.