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Finding the Fourth Proportional to 31,709.32, 47,563.98 and 8,335.72

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Solution

The fourth proportional to 31,709.32, 47,563.98 and 8,335.72 is: 12,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.32 : 47,563.98 = 8,335.72 : x
  2. Step 2: Convert to fraction form
    31,709.32/47,563.98 = 8,335.72/x
  3. Step 3: Cross multiply
    31,709.32x = 47,563.98 × 8,335.72
  4. Step 4: Simplify right side
    31,709.32x = 396,480,019.37
  5. Step 5: Solve for x
    x = 396,480,019.37/31,709.32
  6. Step 6: Final answer
    x = 12,503.58

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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.