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Finding the Fourth Proportional to 47,711.34, 65,847.69 and 28,848.42

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Solution

The fourth proportional to 47,711.34, 65,847.69 and 28,848.42 is: 39,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.34 : 65,847.69 = 28,848.42 : x
  2. Step 2: Convert to fraction form
    47,711.34/65,847.69 = 28,848.42/x
  3. Step 3: Cross multiply
    47,711.34x = 65,847.69 × 28,848.42
  4. Step 4: Simplify right side
    47,711.34x = 1,899,601,817.15
  5. Step 5: Solve for x
    x = 1,899,601,817.15/47,711.34
  6. Step 6: Final answer
    x = 39,814.47

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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.