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Finding the Fourth Proportional to 39,784.82, 59,914.12 and 34,652.66

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Solution

The fourth proportional to 39,784.82, 59,914.12 and 34,652.66 is: 52,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.82 : 59,914.12 = 34,652.66 : x
  2. Step 2: Convert to fraction form
    39,784.82/59,914.12 = 34,652.66/x
  3. Step 3: Cross multiply
    39,784.82x = 59,914.12 × 34,652.66
  4. Step 4: Simplify right side
    39,784.82x = 2,076,183,456.30
  5. Step 5: Solve for x
    x = 2,076,183,456.30/39,784.82
  6. Step 6: Final answer
    x = 52,185.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.