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Finding the Fourth Proportional to 49,464.55, 68,264.43 and 27,946.83

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Solution

The fourth proportional to 49,464.55, 68,264.43 and 27,946.83 is: 38,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464.55 : 68,264.43 = 27,946.83 : x
  2. Step 2: Convert to fraction form
    49,464.55/68,264.43 = 27,946.83/x
  3. Step 3: Cross multiply
    49,464.55x = 68,264.43 × 27,946.83
  4. Step 4: Simplify right side
    49,464.55x = 1,907,774,420.26
  5. Step 5: Solve for x
    x = 1,907,774,420.26/49,464.55
  6. Step 6: Final answer
    x = 38,568.52

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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.