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Finding the Fourth Proportional to 57,840.54, 86,701.71 and 32,827.74

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Solution

The fourth proportional to 57,840.54, 86,701.71 and 32,827.74 is: 49,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,840.54 : 86,701.71 = 32,827.74 : x
  2. Step 2: Convert to fraction form
    57,840.54/86,701.71 = 32,827.74/x
  3. Step 3: Cross multiply
    57,840.54x = 86,701.71 × 32,827.74
  4. Step 4: Simplify right side
    57,840.54x = 2,846,221,193.44
  5. Step 5: Solve for x
    x = 2,846,221,193.44/57,840.54
  6. Step 6: Final answer
    x = 49,208.07

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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.