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Finding the Fourth Proportional to 31,855.60, 47,785.80 and 9,670.72

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Solution

The fourth proportional to 31,855.60, 47,785.80 and 9,670.72 is: 14,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.60 : 47,785.80 = 9,670.72 : x
  2. Step 2: Convert to fraction form
    31,855.60/47,785.80 = 9,670.72/x
  3. Step 3: Cross multiply
    31,855.60x = 47,785.80 × 9,670.72
  4. Step 4: Simplify right side
    31,855.60x = 462,123,091.78
  5. Step 5: Solve for x
    x = 462,123,091.78/31,855.60
  6. Step 6: Final answer
    x = 14,506.81

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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.