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Finding the Fourth Proportional to 31,809.08, 47,708.76 and 8,435.32

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Solution

The fourth proportional to 31,809.08, 47,708.76 and 8,435.32 is: 12,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.08 : 47,708.76 = 8,435.32 : x
  2. Step 2: Convert to fraction form
    31,809.08/47,708.76 = 8,435.32/x
  3. Step 3: Cross multiply
    31,809.08x = 47,708.76 × 8,435.32
  4. Step 4: Simplify right side
    31,809.08x = 402,438,657.40
  5. Step 5: Solve for x
    x = 402,438,657.40/31,809.08
  6. Step 6: Final answer
    x = 12,651.69

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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.