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Finding the Fourth Proportional to 49,316.85, 68,055.89 and 27,806.40

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Solution

The fourth proportional to 49,316.85, 68,055.89 and 27,806.40 is: 38,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316.85 : 68,055.89 = 27,806.40 : x
  2. Step 2: Convert to fraction form
    49,316.85/68,055.89 = 27,806.40/x
  3. Step 3: Cross multiply
    49,316.85x = 68,055.89 × 27,806.40
  4. Step 4: Simplify right side
    49,316.85x = 1,892,389,160.66
  5. Step 5: Solve for x
    x = 1,892,389,160.66/49,316.85
  6. Step 6: Final answer
    x = 38,372.06

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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.