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Finding the Fourth Proportional to 31,536.65, 47,309.93 and 9,352.23

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Solution

The fourth proportional to 31,536.65, 47,309.93 and 9,352.23 is: 14,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536.65 : 47,309.93 = 9,352.23 : x
  2. Step 2: Convert to fraction form
    31,536.65/47,309.93 = 9,352.23/x
  3. Step 3: Cross multiply
    31,536.65x = 47,309.93 × 9,352.23
  4. Step 4: Simplify right side
    31,536.65x = 442,453,299.88
  5. Step 5: Solve for x
    x = 442,453,299.88/31,536.65
  6. Step 6: Final answer
    x = 14,029.82

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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.