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Finding the Fourth Proportional to 31,847.42, 47,779.86 and 9,661.52

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Solution

The fourth proportional to 31,847.42, 47,779.86 and 9,661.52 is: 14,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.42 : 47,779.86 = 9,661.52 : x
  2. Step 2: Convert to fraction form
    31,847.42/47,779.86 = 9,661.52/x
  3. Step 3: Cross multiply
    31,847.42x = 47,779.86 × 9,661.52
  4. Step 4: Simplify right side
    31,847.42x = 461,626,072.99
  5. Step 5: Solve for x
    x = 461,626,072.99/31,847.42
  6. Step 6: Final answer
    x = 14,494.93

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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.