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Finding the Fourth Proportional to 31,763.60, 47,645.40 and 8,392.40

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Solution

The fourth proportional to 31,763.60, 47,645.40 and 8,392.40 is: 12,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.60 : 47,645.40 = 8,392.40 : x
  2. Step 2: Convert to fraction form
    31,763.60/47,645.40 = 8,392.40/x
  3. Step 3: Cross multiply
    31,763.60x = 47,645.40 × 8,392.40
  4. Step 4: Simplify right side
    31,763.60x = 399,859,254.96
  5. Step 5: Solve for x
    x = 399,859,254.96/31,763.60
  6. Step 6: Final answer
    x = 12,588.60

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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.