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Finding the Fourth Proportional to 78,952.72, 108,952.38 and 47,142.88

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Solution

The fourth proportional to 78,952.72, 108,952.38 and 47,142.88 is: 65,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,952.72 : 108,952.38 = 47,142.88 : x
  2. Step 2: Convert to fraction form
    78,952.72/108,952.38 = 47,142.88/x
  3. Step 3: Cross multiply
    78,952.72x = 108,952.38 × 47,142.88
  4. Step 4: Simplify right side
    78,952.72x = 5,136,328,976.05
  5. Step 5: Solve for x
    x = 5,136,328,976.05/78,952.72
  6. Step 6: Final answer
    x = 65,055.76

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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.