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Finding the Fourth Proportional to 31,000.68, 46,462.98 and 14,338.20

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Solution

The fourth proportional to 31,000.68, 46,462.98 and 14,338.20 is: 21,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.68 : 46,462.98 = 14,338.20 : x
  2. Step 2: Convert to fraction form
    31,000.68/46,462.98 = 14,338.20/x
  3. Step 3: Cross multiply
    31,000.68x = 46,462.98 × 14,338.20
  4. Step 4: Simplify right side
    31,000.68x = 666,195,499.84
  5. Step 5: Solve for x
    x = 666,195,499.84/31,000.68
  6. Step 6: Final answer
    x = 21,489.71

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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.