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Finding the Fourth Proportional to 52,656.48, 78,968.66 and 27,682.97

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Solution

The fourth proportional to 52,656.48, 78,968.66 and 27,682.97 is: 41,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.48 : 78,968.66 = 27,682.97 : x
  2. Step 2: Convert to fraction form
    52,656.48/78,968.66 = 27,682.97/x
  3. Step 3: Cross multiply
    52,656.48x = 78,968.66 × 27,682.97
  4. Step 4: Simplify right side
    52,656.48x = 2,186,086,512.46
  5. Step 5: Solve for x
    x = 2,186,086,512.46/52,656.48
  6. Step 6: Final answer
    x = 41,516.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.