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Finding the Fourth Proportional to 31,970.64, 47,963.22 and 9,785.76

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Solution

The fourth proportional to 31,970.64, 47,963.22 and 9,785.76 is: 14,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.64 : 47,963.22 = 9,785.76 : x
  2. Step 2: Convert to fraction form
    31,970.64/47,963.22 = 9,785.76/x
  3. Step 3: Cross multiply
    31,970.64x = 47,963.22 × 9,785.76
  4. Step 4: Simplify right side
    31,970.64x = 469,356,559.75
  5. Step 5: Solve for x
    x = 469,356,559.75/31,970.64
  6. Step 6: Final answer
    x = 14,680.86

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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.