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Finding the Fourth Proportional to 47,718.12, 65,853.96 and 27,578.64

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Solution

The fourth proportional to 47,718.12, 65,853.96 and 27,578.64 is: 38,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.12 : 65,853.96 = 27,578.64 : x
  2. Step 2: Convert to fraction form
    47,718.12/65,853.96 = 27,578.64/x
  3. Step 3: Cross multiply
    47,718.12x = 65,853.96 × 27,578.64
  4. Step 4: Simplify right side
    47,718.12x = 1,816,162,655.41
  5. Step 5: Solve for x
    x = 1,816,162,655.41/47,718.12
  6. Step 6: Final answer
    x = 38,060.23

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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.