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Finding the Fourth Proportional to 31,782.07, 47,673.11 and 11,005.57

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Solution

The fourth proportional to 31,782.07, 47,673.11 and 11,005.57 is: 16,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.07 : 47,673.11 = 11,005.57 : x
  2. Step 2: Convert to fraction form
    31,782.07/47,673.11 = 11,005.57/x
  3. Step 3: Cross multiply
    31,782.07x = 47,673.11 × 11,005.57
  4. Step 4: Simplify right side
    31,782.07x = 524,669,455.83
  5. Step 5: Solve for x
    x = 524,669,455.83/31,782.07
  6. Step 6: Final answer
    x = 16,508.35

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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.