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Finding the Fourth Proportional to 56,676.84, 84,978.81 and 27,094.02

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Solution

The fourth proportional to 56,676.84, 84,978.81 and 27,094.02 is: 40,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676.84 : 84,978.81 = 27,094.02 : x
  2. Step 2: Convert to fraction form
    56,676.84/84,978.81 = 27,094.02/x
  3. Step 3: Cross multiply
    56,676.84x = 84,978.81 × 27,094.02
  4. Step 4: Simplify right side
    56,676.84x = 2,302,417,577.72
  5. Step 5: Solve for x
    x = 2,302,417,577.72/56,676.84
  6. Step 6: Final answer
    x = 40,623.61

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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.