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Finding the Fourth Proportional to 31,162.33, 46,742.82 and 7,788.79

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Solution

The fourth proportional to 31,162.33, 46,742.82 and 7,788.79 is: 11,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.33 : 46,742.82 = 7,788.79 : x
  2. Step 2: Convert to fraction form
    31,162.33/46,742.82 = 7,788.79/x
  3. Step 3: Cross multiply
    31,162.33x = 46,742.82 × 7,788.79
  4. Step 4: Simplify right side
    31,162.33x = 364,070,008.99
  5. Step 5: Solve for x
    x = 364,070,008.99/31,162.33
  6. Step 6: Final answer
    x = 11,683.02

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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.