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Finding the Fourth Proportional to 47,667.34, 65,783.91 and 27,527.91

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Solution

The fourth proportional to 47,667.34, 65,783.91 and 27,527.91 is: 37,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667.34 : 65,783.91 = 27,527.91 : x
  2. Step 2: Convert to fraction form
    47,667.34/65,783.91 = 27,527.91/x
  3. Step 3: Cross multiply
    47,667.34x = 65,783.91 × 27,527.91
  4. Step 4: Simplify right side
    47,667.34x = 1,810,893,553.93
  5. Step 5: Solve for x
    x = 1,810,893,553.93/47,667.34
  6. Step 6: Final answer
    x = 37,990.24

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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.