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Finding the Fourth Proportional to 31,258.20, 46,891.86 and 9,071.70

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Solution

The fourth proportional to 31,258.20, 46,891.86 and 9,071.70 is: 13,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258.20 : 46,891.86 = 9,071.70 : x
  2. Step 2: Convert to fraction form
    31,258.20/46,891.86 = 9,071.70/x
  3. Step 3: Cross multiply
    31,258.20x = 46,891.86 × 9,071.70
  4. Step 4: Simplify right side
    31,258.20x = 425,388,886.36
  5. Step 5: Solve for x
    x = 425,388,886.36/31,258.20
  6. Step 6: Final answer
    x = 13,608.87

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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.