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Finding the Fourth Proportional to 31,539.35, 47,308 and 12,813.85

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Solution

The fourth proportional to 31,539.35, 47,308 and 12,813.85 is: 19,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539.35 : 47,308 = 12,813.85 : x
  2. Step 2: Convert to fraction form
    31,539.35/47,308 = 12,813.85/x
  3. Step 3: Cross multiply
    31,539.35x = 47,308 × 12,813.85
  4. Step 4: Simplify right side
    31,539.35x = 606,197,615.80
  5. Step 5: Solve for x
    x = 606,197,615.80/31,539.35
  6. Step 6: Final answer
    x = 19,220.36

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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.