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Finding the Fourth Proportional to 31,575.80, 47,363.72 and 12,866.04

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Solution

The fourth proportional to 31,575.80, 47,363.72 and 12,866.04 is: 19,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.80 : 47,363.72 = 12,866.04 : x
  2. Step 2: Convert to fraction form
    31,575.80/47,363.72 = 12,866.04/x
  3. Step 3: Cross multiply
    31,575.80x = 47,363.72 × 12,866.04
  4. Step 4: Simplify right side
    31,575.80x = 609,383,516.07
  5. Step 5: Solve for x
    x = 609,383,516.07/31,575.80
  6. Step 6: Final answer
    x = 19,299.07

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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.