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Finding the Fourth Proportional to 31,707.60, 47,557.80 and 8,336.40

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Solution

The fourth proportional to 31,707.60, 47,557.80 and 8,336.40 is: 12,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.60 : 47,557.80 = 8,336.40 : x
  2. Step 2: Convert to fraction form
    31,707.60/47,557.80 = 8,336.40/x
  3. Step 3: Cross multiply
    31,707.60x = 47,557.80 × 8,336.40
  4. Step 4: Simplify right side
    31,707.60x = 396,460,843.92
  5. Step 5: Solve for x
    x = 396,460,843.92/31,707.60
  6. Step 6: Final answer
    x = 12,503.65

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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.