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Finding the Fourth Proportional to 31,571.88, 47,365.65 and 9,385.22

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Solution

The fourth proportional to 31,571.88, 47,365.65 and 9,385.22 is: 14,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.88 : 47,365.65 = 9,385.22 : x
  2. Step 2: Convert to fraction form
    31,571.88/47,365.65 = 9,385.22/x
  3. Step 3: Cross multiply
    31,571.88x = 47,365.65 × 9,385.22
  4. Step 4: Simplify right side
    31,571.88x = 444,536,808.86
  5. Step 5: Solve for x
    x = 444,536,808.86/31,571.88
  6. Step 6: Final answer
    x = 14,080.15

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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.