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Finding the Fourth Proportional to 47,661.50, 65,778.54 and 27,523.28

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Solution

The fourth proportional to 47,661.50, 65,778.54 and 27,523.28 is: 37,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.50 : 65,778.54 = 27,523.28 : x
  2. Step 2: Convert to fraction form
    47,661.50/65,778.54 = 27,523.28/x
  3. Step 3: Cross multiply
    47,661.50x = 65,778.54 × 27,523.28
  4. Step 4: Simplify right side
    47,661.50x = 1,810,441,174.41
  5. Step 5: Solve for x
    x = 1,810,441,174.41/47,661.50
  6. Step 6: Final answer
    x = 37,985.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.