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Finding the Fourth Proportional to 49,466.98, 68,267.80 and 27,949.28

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Solution

The fourth proportional to 49,466.98, 68,267.80 and 27,949.28 is: 38,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,466.98 : 68,267.80 = 27,949.28 : x
  2. Step 2: Convert to fraction form
    49,466.98/68,267.80 = 27,949.28/x
  3. Step 3: Cross multiply
    49,466.98x = 68,267.80 × 27,949.28
  4. Step 4: Simplify right side
    49,466.98x = 1,908,035,857.18
  5. Step 5: Solve for x
    x = 1,908,035,857.18/49,466.98
  6. Step 6: Final answer
    x = 38,571.91

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1.5x scale

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.