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Finding the Fourth Proportional to 31,866.89, 47,805.84 and 9,682.52

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Solution

The fourth proportional to 31,866.89, 47,805.84 and 9,682.52 is: 14,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.89 : 47,805.84 = 9,682.52 : x
  2. Step 2: Convert to fraction form
    31,866.89/47,805.84 = 9,682.52/x
  3. Step 3: Cross multiply
    31,866.89x = 47,805.84 × 9,682.52
  4. Step 4: Simplify right side
    31,866.89x = 462,880,762.89
  5. Step 5: Solve for x
    x = 462,880,762.89/31,866.89
  6. Step 6: Final answer
    x = 14,525.45

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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.