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Finding the Fourth Proportional to 47,656.59, 65,769.08 and 27,517.16

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Solution

The fourth proportional to 47,656.59, 65,769.08 and 27,517.16 is: 37,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.59 : 65,769.08 = 27,517.16 : x
  2. Step 2: Convert to fraction form
    47,656.59/65,769.08 = 27,517.16/x
  3. Step 3: Cross multiply
    47,656.59x = 65,769.08 × 27,517.16
  4. Step 4: Simplify right side
    47,656.59x = 1,809,778,297.41
  5. Step 5: Solve for x
    x = 1,809,778,297.41/47,656.59
  6. Step 6: Final answer
    x = 37,975.40

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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.