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Finding the Fourth Proportional to 57,816.78, 86,742.64 and 27,445.22

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Solution

The fourth proportional to 57,816.78, 86,742.64 and 27,445.22 is: 41,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,816.78 : 86,742.64 = 27,445.22 : x
  2. Step 2: Convert to fraction form
    57,816.78/86,742.64 = 27,445.22/x
  3. Step 3: Cross multiply
    57,816.78x = 86,742.64 × 27,445.22
  4. Step 4: Simplify right side
    57,816.78x = 2,380,670,838.18
  5. Step 5: Solve for x
    x = 2,380,670,838.18/57,816.78
  6. Step 6: Final answer
    x = 41,176.12

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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.