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Finding the Fourth Proportional to 31,229.64, 46,862.90 and 11,521.96

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Solution

The fourth proportional to 31,229.64, 46,862.90 and 11,521.96 is: 17,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.64 : 46,862.90 = 11,521.96 : x
  2. Step 2: Convert to fraction form
    31,229.64/46,862.90 = 11,521.96/x
  3. Step 3: Cross multiply
    31,229.64x = 46,862.90 × 11,521.96
  4. Step 4: Simplify right side
    31,229.64x = 539,952,459.28
  5. Step 5: Solve for x
    x = 539,952,459.28/31,229.64
  6. Step 6: Final answer
    x = 17,289.74

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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.