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Finding the Fourth Proportional to 49,017.90, 67,644.69 and 27,797.16

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Solution

The fourth proportional to 49,017.90, 67,644.69 and 27,797.16 is: 38,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,017.90 : 67,644.69 = 27,797.16 : x
  2. Step 2: Convert to fraction form
    49,017.90/67,644.69 = 27,797.16/x
  3. Step 3: Cross multiply
    49,017.90x = 67,644.69 × 27,797.16
  4. Step 4: Simplify right side
    49,017.90x = 1,880,330,271.08
  5. Step 5: Solve for x
    x = 1,880,330,271.08/49,017.90
  6. Step 6: Final answer
    x = 38,360.08

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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.