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Finding the Fourth Proportional to 31,905.99, 47,866.12 and 9,721.10

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Solution

The fourth proportional to 31,905.99, 47,866.12 and 9,721.10 is: 14,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.99 : 47,866.12 = 9,721.10 : x
  2. Step 2: Convert to fraction form
    31,905.99/47,866.12 = 9,721.10/x
  3. Step 3: Cross multiply
    31,905.99x = 47,866.12 × 9,721.10
  4. Step 4: Simplify right side
    31,905.99x = 465,311,339.13
  5. Step 5: Solve for x
    x = 465,311,339.13/31,905.99
  6. Step 6: Final answer
    x = 14,583.82

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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.