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Finding the Fourth Proportional to 56,658.36, 78,174.54 and 35,427

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Solution

The fourth proportional to 56,658.36, 78,174.54 and 35,427 is: 48,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,658.36 : 78,174.54 = 35,427 : x
  2. Step 2: Convert to fraction form
    56,658.36/78,174.54 = 35,427/x
  3. Step 3: Cross multiply
    56,658.36x = 78,174.54 × 35,427
  4. Step 4: Simplify right side
    56,658.36x = 2,769,489,428.58
  5. Step 5: Solve for x
    x = 2,769,489,428.58/56,658.36
  6. Step 6: Final answer
    x = 48,880.51

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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.