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Finding the Fourth Proportional to 31,541.35, 47,311 and 12,815.85

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Solution

The fourth proportional to 31,541.35, 47,311 and 12,815.85 is: 19,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541.35 : 47,311 = 12,815.85 : x
  2. Step 2: Convert to fraction form
    31,541.35/47,311 = 12,815.85/x
  3. Step 3: Cross multiply
    31,541.35x = 47,311 × 12,815.85
  4. Step 4: Simplify right side
    31,541.35x = 606,330,679.35
  5. Step 5: Solve for x
    x = 606,330,679.35/31,541.35
  6. Step 6: Final answer
    x = 19,223.36

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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.