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Finding the Fourth Proportional to 47,783.93, 71,684.91 and 15,764.83

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Solution

The fourth proportional to 47,783.93, 71,684.91 and 15,764.83 is: 23,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.93 : 71,684.91 = 15,764.83 : x
  2. Step 2: Convert to fraction form
    47,783.93/71,684.91 = 15,764.83/x
  3. Step 3: Cross multiply
    47,783.93x = 71,684.91 × 15,764.83
  4. Step 4: Simplify right side
    47,783.93x = 1,130,100,419.72
  5. Step 5: Solve for x
    x = 1,130,100,419.72/47,783.93
  6. Step 6: Final answer
    x = 23,650.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.