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Finding the Fourth Proportional to 31,301.88, 46,920 and 14,647.89

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Solution

The fourth proportional to 31,301.88, 46,920 and 14,647.89 is: 21,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.88 : 46,920 = 14,647.89 : x
  2. Step 2: Convert to fraction form
    31,301.88/46,920 = 14,647.89/x
  3. Step 3: Cross multiply
    31,301.88x = 46,920 × 14,647.89
  4. Step 4: Simplify right side
    31,301.88x = 687,278,998.80
  5. Step 5: Solve for x
    x = 687,278,998.80/31,301.88
  6. Step 6: Final answer
    x = 21,956.48

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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.