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Finding the Fourth Proportional to 49,482, 68,285.16 and 27,125.52

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Solution

The fourth proportional to 49,482, 68,285.16 and 27,125.52 is: 37,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,482 : 68,285.16 = 27,125.52 : x
  2. Step 2: Convert to fraction form
    49,482/68,285.16 = 27,125.52/x
  3. Step 3: Cross multiply
    49,482x = 68,285.16 × 27,125.52
  4. Step 4: Simplify right side
    49,482x = 1,852,270,473.28
  5. Step 5: Solve for x
    x = 1,852,270,473.28/49,482
  6. Step 6: Final answer
    x = 37,433.22

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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.