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Finding the Fourth Proportional to 31,645.50, 47,478.65 and 12,941.27

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Solution

The fourth proportional to 31,645.50, 47,478.65 and 12,941.27 is: 19,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.50 : 47,478.65 = 12,941.27 : x
  2. Step 2: Convert to fraction form
    31,645.50/47,478.65 = 12,941.27/x
  3. Step 3: Cross multiply
    31,645.50x = 47,478.65 × 12,941.27
  4. Step 4: Simplify right side
    31,645.50x = 614,434,147.58
  5. Step 5: Solve for x
    x = 614,434,147.58/31,645.50
  6. Step 6: Final answer
    x = 19,416.16

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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.