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Finding the Fourth Proportional to 31,525.54, 47,295.22 and 9,340.66

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Solution

The fourth proportional to 31,525.54, 47,295.22 and 9,340.66 is: 14,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.54 : 47,295.22 = 9,340.66 : x
  2. Step 2: Convert to fraction form
    31,525.54/47,295.22 = 9,340.66/x
  3. Step 3: Cross multiply
    31,525.54x = 47,295.22 × 9,340.66
  4. Step 4: Simplify right side
    31,525.54x = 441,768,569.65
  5. Step 5: Solve for x
    x = 441,768,569.65/31,525.54
  6. Step 6: Final answer
    x = 14,013.04

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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.