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Finding the Fourth Proportional to 37,635.54, 56,124.42 and 32,977.23

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Solution

The fourth proportional to 37,635.54, 56,124.42 and 32,977.23 is: 49,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,635.54 : 56,124.42 = 32,977.23 : x
  2. Step 2: Convert to fraction form
    37,635.54/56,124.42 = 32,977.23/x
  3. Step 3: Cross multiply
    37,635.54x = 56,124.42 × 32,977.23
  4. Step 4: Simplify right side
    37,635.54x = 1,850,827,906.96
  5. Step 5: Solve for x
    x = 1,850,827,906.96/37,635.54
  6. Step 6: Final answer
    x = 49,177.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.