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Finding the Fourth Proportional to 31,231.58, 46,846.95 and 7,538.93

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Solution

The fourth proportional to 31,231.58, 46,846.95 and 7,538.93 is: 11,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.58 : 46,846.95 = 7,538.93 : x
  2. Step 2: Convert to fraction form
    31,231.58/46,846.95 = 7,538.93/x
  3. Step 3: Cross multiply
    31,231.58x = 46,846.95 × 7,538.93
  4. Step 4: Simplify right side
    31,231.58x = 353,175,876.76
  5. Step 5: Solve for x
    x = 353,175,876.76/31,231.58
  6. Step 6: Final answer
    x = 11,308.29

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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.